Huzihiro Araki - Author Profile

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Araki, Huzihiro (b. 1932 d. 2022)

Author ID:	araki.huzihiro
Published as:	Araki, Huzihiro; Araki, H.
External Links:	MGP · Wikidata · Math-Net.Ru · GND · IdRef

Documents Indexed:	123 Publications since 1954, including 2 Books
	14 Contributions as Editor · 2 Further Contributions
Reviewing Activity:	72 Reviews
Biographic References:	4 Publications
Co-Authors:	57 Co-Authors with 54 Joint Publications
	1,109 Co-Co-Authors

all top 5

Co-Authors

85	single-authored
4	Woods, Edward James
3	Kishimoto, Akitaka
3	Matsui, Taku
3	Moriya, Hajime
2	Barouch, Eytan
2	Choda, Marie
2	Evans, David E.
2	Ezawa, Hiroshi
2	Kadison, Richard Vincent
2	Nakagami, Yoshiomi
2	Saitô, Kazuyuki
2	Tomiyama, Jun
2	Yamagami, Shigeru
2	Zsidó, Lászlo
1	Aizenman, Michael
1	Amemiya, Ichiro
1	Araki, Gentaro
1	Arsene, Grigore
1	Burgoyne, N.
1	Carey, Alan L.
1	Choda, Hisashi
1	Effros, Edward George
1	Elliott, George A.
1	Englert, Berthold-Georg
1	Flato, Moshé
1	Gotō, Tetsuo
1	Haag, Rudolf
1	Hakeda, Jôsuke
1	Hamana, Masamichi
1	Hansen, Frank-Peter
1	Hepp, Klaus
1	Ho, T. G.
1	Hofmann, Gerald
1	Ikunishi, Akio
1	Ito, Keiichi R.
1	Jurzak, Jean-Paul
1	Kajiwara, Tsuyoshi
1	Kawaguchi, Masaaki
1	Kawahigashi, Yasuyuki
1	Kosaki, Hideki
1	Kusuda, Masaharu
1	Kwek, Leong Chuan
1	Masuda, Tetsuya
1	Michéa, Sébastien
1	Miyata, Hideo
1	Moore, Calvin C.
1	Munakata, Yasuo
1	Nakazato, Hiroshi
1	Natsume, Toshikazu
1	Ojima, Izumi
1	Ozawa, Masanao
1	Raggio, Guido A.
1	Ruelle, David Pierre
1	Schroer, Bert
1	Shiraishi, Masafumi
1	Sinha, Kalyan B.
1	Smith, Larry
1	Smith, Mi-Soo Bae
1	Sternheimer, Daniel
1	Strătilă, Şerban Valentin
1	Sunder, Viakalathur S.
1	Suzuki, Jun-Ichirou
1	Tabuchi, Takaaki
1	Takai, Hiroshi
1	Takemoto, Hideo
1	Voiculescu, Dan-Virgil
1	Wyss, Walter
1	Yanase, Mutsuo M.

all top 5

Serials

20	Communications in Mathematical Physics
20	Publications of the Research Institute for Mathematical Sciences, Kyoto University
9	Letters in Mathematical Physics
8	Publications of the Research Institute for Mathematical Sciences, Series A
6	Progress of Theoretical Physics
5	Reviews in Mathematical Physics
4	Helvetica Physica Acta
4	Journal of Mathematical Physics
2	International Journal of Modern Physics B
2	Reports on Mathematical Physics
2	Pacific Journal of Mathematics
2	Annals of Physics
2	Il Nuovo Cimento, X. Series
2	Lecture Notes in Mathematics
2	International Series of Monographs on Physics
1	Journal of Statistical Physics
1	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1	Mathematica Japonica
1	Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik
1	Proceedings of the American Mathematical Society
1	Journal of Operator Theory
1	Acta Applicandae Mathematicae
1	Sūgaku
1	RIMS Kokyuroku
1	Physica Scripta
1	Physical Review, II. Series
1	Advanced Series in Mathematical Physics
1	Lecture Notes in Physics
1	Mathematical Physics Studies
1	Pitman Research Notes in Mathematics Series
1	Proceedings of the Steklov Institute of Mathematics
1	Progress in Mathematics
1	Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
1	RIMS Kokyuroku

all top 5

Fields

88	Functional analysis (46-XX)
34	Statistical mechanics, structure of matter (82-XX)
31	Quantum theory (81-XX)
16	Operator theory (47-XX)
13	General and overarching topics; collections (00-XX)
6	Topological groups, Lie groups (22-XX)
4	History and biography (01-XX)
4	Partial differential equations (35-XX)
4	Probability theory and stochastic processes (60-XX)
2	Nonassociative rings and algebras (17-XX)
2	Ordinary differential equations (34-XX)
2	Dynamical systems and ergodic theory (37-XX)
2	Global analysis, analysis on manifolds (58-XX)
1	Measure and integration (28-XX)
1	Manifolds and cell complexes (57-XX)
1	Numerical analysis (65-XX)
1	Optics, electromagnetic theory (78-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

106 Publications have been cited 2,467 times in 1,719 Documents	Cited by ▼	Year ▼
Relative entropy of states of von Neumann algebras. Zbl 0326.46031 Araki, Huzihiro	175	1976
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061 Araki, Huzihiro	122	1971
On an inequality of Lieb and Thirring. Zbl 0705.47020 Araki, Huzihiro	105	1990
Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074 Araki, Huzihiro	94	1974
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054 Araki, Huzihiro	91	1973
A classification of factors. Zbl 0206.12901 Araki, H.; Woods, E. J.	90	1968
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501 Araki, Huzihiro	88	1999
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055 Araki, Huzihiro	78	1977
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805 Araki, H.	76	1963
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001 Araki, H.	71	1969
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906 Araki, H.	71	1960
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401 Araki, H.	66	1964
A remark on Piron’s paper. Zbl 0177.16103 Amemiya, I.; Araki, H.	56	1966
Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014 Araki, Huzihiro	49	1970
On the algebra of all local observables. Zbl 0125.21904 Araki, H.	49	1964
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003 Araki, Huzihiro; Moriya, Hajime	45	2003
Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046 Araki, Huzihiro; Masuda, Tetsuya	44	1982
Representations of canonical anticommutation relations. Zbl 0137.23903 Araki, H.; Wyss, W.	44	1964
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054 Araki, Huzihiro	40	1975
Measurement of quantum mechanical operators. Zbl 0095.42502 Araki, Huzihiro; Yanase, Mutsuo M.	39	1960
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066 Araki, Huzihiro; Shiraishi, Masafumi	38	1971
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601 Araki, H.; Woods, E. J.	34	1966
Expansional in Banach algebras. Zbl 0257.46054 Araki, Huzihiro	34	1973
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032 Araki, Huzihiro; Zsidó, László	33	2005
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013 Araki, Huzihiro; Yamagami, Shigeru	32	1981
On the XY-model on two-sided infinite chain. Zbl 0544.46040 Araki, Huzihiro	31	1984
Ground states of the XY-model. Zbl 0581.46058 Araki, Huzihiro; Matsui, Taku	31	1985
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048 Araki, Huzihiro	29	1973
Type of von Neumann algebra associated with free field. Zbl 0132.43901 Araki, H.	29	1964
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067 Araki, Huzihiro	27	1971
On a characterization of the state space of quantum mechanics. Zbl 0443.46046 Araki, Huzihiro	27	1980
Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008 Ho, T. G.; Araki, Huzihiro	25	2000
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101 Araki, H.	25	1968
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017 Araki, Huzihiro	24	1985
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048 Araki, Huzihiro	22	1974
On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046 Araki, Huzihiro; Evans, David E.	20	1983
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701 Araki, Huzihiro	19	1968
A remark on transition probability. Zbl 0515.46063 Araki, Huzihiro; Raggio, Guido A.	18	1982
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058 Araki, Huzihiro	18	1987
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038 Araki, Huzihiro; Moriya, Hajime	17	2003
On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201 Araki, H.	17	1960
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075 Araki, Huzihiro	16	1972
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503 Araki, Huzihiro	16	1980
Properties of the momentum space analytic function. Zbl 0098.43105 Araki, H.; Burgoyne, N.	16	1960
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001 Araki, Huzihiro	16	2009
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004 Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry	15	1971
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052 Araki, Huzihiro; Yamagami, Shigeru	15	1982
A generalization of Borchers theorem. Zbl 0112.43203 Araki, H.	15	1963
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503 Araki, H.; Hepp, K.; Ruelle, D.	14	1962
On the connection of spin and commutation relations between different fields. Zbl 0119.43901 Araki, Huzihiro	14	1961
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057 Araki, Huzihiro	13	1987
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009 Araki, Huzihiro; Hansen, Frank	12	2000
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019 Araki, Huzihiro; Barouch, Eytan	12	1983
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029 Araki, Huzihiro; Jurzak, Jean Paul	12	1982
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048 Araki, Huzihiro	11	1973
Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100 Araki, Huzihiro	11	1971
On weak time-symmetric gravitational waves. Zbl 0087.23002 Araki, Huzihiro	11	1959
Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043 Araki, H.	11	1976
On \({\mathcal O}_{n+1}\). Zbl 0562.46033 Araki, H.; Carey, A. L.; Evans, D. E.	10	1984
On KMS boundary condition. Zbl 0195.28702 Araki, Huzihiro; Miyata, Hideo	9	1968
On representations of the canonical commutation relations. Zbl 0203.57101 Araki, H.	9	1971
On the definition of \(C^*\)-algebras. Zbl 0272.46033 Araki, Huzihiro; Elliott, George A.	9	1973
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093 Araki, Huzihiro	9	1972
Quantum field theory of unstable particles. Zbl 0077.43202 Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo	9	1957
Symmetry and equilibrium states. Zbl 0341.46043 Araki, Huzihiro; Kishimoto, Akitaka	9	1977
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006 Araki, Huzihiro	7	2004
Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005	7	1985
On a pathology in indefinite metric inner product space. Zbl 0505.47028 Araki, Huzihiro	7	1982
Mathematical horizons for quantum physics. Zbl 1197.81031	7	2010
A classification of factors. II. Zbl 0198.17803 Araki, H.	6	1969
The determination of a local or almost local field from a given current. Zbl 0149.46405 Araki, Huzihiro; Haag, Rudolf; Schroer, Bert	6	1961
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040 Araki, Huzihiro	6	1992
Master symmetries of the XY model. Zbl 0718.46049 Araki, Huzihiro	6	1990
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002 Araki, Huzihiro; Moriya, Hajime	6	2002
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050 Araki, Huzihiro	5	1973
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051 Araki, H.; Woods, E. J.	5	1973
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009	5	1975
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044 Araki, Huzihiro	5	1989
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602 Araki, H.; Woods, E. J.	4	1966
Analyticity of ground states of the XY-model. Zbl 0591.58018 Araki, Huzihiro; Matsui, Taku	4	1986
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097 Araki, Huzihiro; Nakagami, Yoshiomi	3	1972
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065 Araki, Huzihiro	3	1974
Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049 Araki, Huzihiro	3	1990
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101 Araki, H.	3	1961
Standard potentials for non-even dynamics. Zbl 1113.82037 Araki, Huzihiro	3	2006
A remark on Bures distance function for normal states. Zbl 0225.46065 Araki, Huzihiro	2	1971
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064 Araki, Huzihiro	2	1976
Positive cones for von Neumann algebras. Zbl 0498.46046 Araki, Huzihiro	2	1982
On clustering property. Zbl 0342.46048 Araki, Huzihiro; Kishimoto, Akitaka	2	1976
On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054 Araki, Huzihiro	2	1978
Geometric methods in operator algebras. Proceedings of the US-Japan Seminar, Kyoto (Japan), July 1983. Zbl 0632.00012	2	1986
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095 Araki, Huzihiro	2	1986
Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303 Araki, Huzihiro	2	1957
Quantum and non-commutative analysis. Past, present and future perspectives. Proceedings of the international Oji seminar on quantum analysis, Kyoto, Japan, June 25-29, 1992 and the symposium on non- commutative analysis, Kyoto, Japan, June 29-July 2, 1992 dedicated to Prof. Huzihiro Araki on the occasion of his 60th birthday. Zbl 0833.00043	1	1993
A remark on a connection of return to equilibrium and multiple ground states in some perturbed \(XY\)-model. Zbl 0942.82506 Araki, Huzihiro	1	1994
The state of matter. A volume dedicated to E. H. Lieb. Zbl 0875.82004	1	1994
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057 Araki, Huzihiro	1	1993
Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030 Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel	1	1998
One dimensional quantum lattice system. Zbl 0239.46068 Araki, Huzihiro	1	1971
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053 Araki, H.	1	1982
Mathematical horizons for quantum physics. Zbl 1197.81031	7	2010
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001 Araki, Huzihiro	16	2009
Super-derivations and associated standard super-potentials. Zbl 1134.82002 Araki, H.	1	2007
Dynamics and potentials. Zbl 1134.82001 Araki, Huzihiro	1	2007
Standard potentials for non-even dynamics. Zbl 1113.82037 Araki, Huzihiro	3	2006
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032 Araki, Huzihiro; Zsidó, László	33	2005
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006 Araki, Huzihiro	7	2004
Topics in the theory of Schrödinger operators. Zbl 1047.35003	1	2004
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003 Araki, Huzihiro; Moriya, Hajime	45	2003
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038 Araki, Huzihiro; Moriya, Hajime	17	2003
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002 Araki, Huzihiro; Moriya, Hajime	6	2002
Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008 Ho, T. G.; Araki, Huzihiro	25	2000
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009 Araki, Huzihiro; Hansen, Frank	12	2000
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501 Araki, Huzihiro	88	1999
Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030 Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel	1	1998
A remark on a connection of return to equilibrium and multiple ground states in some perturbed \(XY\)-model. Zbl 0942.82506 Araki, Huzihiro	1	1994
The state of matter. A volume dedicated to E. H. Lieb. Zbl 0875.82004	1	1994
Quantum and non-commutative analysis. Past, present and future perspectives. Proceedings of the international Oji seminar on quantum analysis, Kyoto, Japan, June 25-29, 1992 and the symposium on non- commutative analysis, Kyoto, Japan, June 29-July 2, 1992 dedicated to Prof. Huzihiro Araki on the occasion of his 60th birthday. Zbl 0833.00043	1	1993
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057 Araki, Huzihiro	1	1993
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040 Araki, Huzihiro	6	1992
On an inequality of Lieb and Thirring. Zbl 0705.47020 Araki, Huzihiro	105	1990
Master symmetries of the XY model. Zbl 0718.46049 Araki, Huzihiro	6	1990
Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049 Araki, Huzihiro	3	1990
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044 Araki, Huzihiro	5	1989
Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039 Araki, Huzihiro	1	1989
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058 Araki, Huzihiro	18	1987
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057 Araki, Huzihiro	13	1987
Analyticity of ground states of the XY-model. Zbl 0591.58018 Araki, Huzihiro; Matsui, Taku	4	1986
Geometric methods in operator algebras. Proceedings of the US-Japan Seminar, Kyoto (Japan), July 1983. Zbl 0632.00012	2	1986
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095 Araki, Huzihiro	2	1986
Ground states of the XY-model. Zbl 0581.46058 Araki, Huzihiro; Matsui, Taku	31	1985
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017 Araki, Huzihiro	24	1985
Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005	7	1985
On the XY-model on two-sided infinite chain. Zbl 0544.46040 Araki, Huzihiro	31	1984
On \({\mathcal O}_{n+1}\). Zbl 0562.46033 Araki, H.; Carey, A. L.; Evans, D. E.	10	1984
On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046 Araki, Huzihiro; Evans, David E.	20	1983
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019 Araki, Huzihiro; Barouch, Eytan	12	1983
Some contact points of mathematics and physics. Zbl 0515.46062 Araki, Huzihiro	1	1983
Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046 Araki, Huzihiro; Masuda, Tetsuya	44	1982
A remark on transition probability. Zbl 0515.46063 Araki, Huzihiro; Raggio, Guido A.	18	1982
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052 Araki, Huzihiro; Yamagami, Shigeru	15	1982
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029 Araki, Huzihiro; Jurzak, Jean Paul	12	1982
On a pathology in indefinite metric inner product space. Zbl 0505.47028 Araki, Huzihiro	7	1982
Positive cones for von Neumann algebras. Zbl 0498.46046 Araki, Huzihiro	2	1982
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053 Araki, H.	1	1982
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013 Araki, Huzihiro; Yamagami, Shigeru	32	1981
On a characterization of the state space of quantum mechanics. Zbl 0443.46046 Araki, Huzihiro	27	1980
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503 Araki, Huzihiro	16	1980
Some topics in quantum statistical mechanics. Zbl 0434.46049 Araki, Huzihiro	1	1980
On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054 Araki, Huzihiro	2	1978
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055 Araki, Huzihiro	78	1977
Symmetry and equilibrium states. Zbl 0341.46043 Araki, Huzihiro; Kishimoto, Akitaka	9	1977
Relative entropy of states of von Neumann algebras. Zbl 0326.46031 Araki, Huzihiro	175	1976
Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043 Araki, H.	11	1976
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064 Araki, Huzihiro	2	1976
On clustering property. Zbl 0342.46048 Araki, Huzihiro; Kishimoto, Akitaka	2	1976
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054 Araki, Huzihiro	40	1975
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009	5	1975
Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074 Araki, Huzihiro	94	1974
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048 Araki, Huzihiro	22	1974
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065 Araki, Huzihiro	3	1974
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054 Araki, Huzihiro	91	1973
Expansional in Banach algebras. Zbl 0257.46054 Araki, Huzihiro	34	1973
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048 Araki, Huzihiro	29	1973
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048 Araki, Huzihiro	11	1973
On the definition of \(C^*\)-algebras. Zbl 0272.46033 Araki, Huzihiro; Elliott, George A.	9	1973
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050 Araki, Huzihiro	5	1973
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051 Araki, H.; Woods, E. J.	5	1973
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075 Araki, Huzihiro	16	1972
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093 Araki, Huzihiro	9	1972
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097 Araki, Huzihiro; Nakagami, Yoshiomi	3	1972
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061 Araki, Huzihiro	122	1971
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066 Araki, Huzihiro; Shiraishi, Masafumi	38	1971
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067 Araki, Huzihiro	27	1971
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004 Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry	15	1971
Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100 Araki, Huzihiro	11	1971
On representations of the canonical commutation relations. Zbl 0203.57101 Araki, H.	9	1971
A remark on Bures distance function for normal states. Zbl 0225.46065 Araki, Huzihiro	2	1971
One dimensional quantum lattice system. Zbl 0239.46068 Araki, Huzihiro	1	1971
Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014 Araki, Huzihiro	49	1970
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001 Araki, H.	71	1969
A classification of factors. II. Zbl 0198.17803 Araki, H.	6	1969
A classification of factors. Zbl 0206.12901 Araki, H.; Woods, E. J.	90	1968
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101 Araki, H.	25	1968
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701 Araki, Huzihiro	19	1968
On KMS boundary condition. Zbl 0195.28702 Araki, Huzihiro; Miyata, Hideo	9	1968
A remark on Piron’s paper. Zbl 0177.16103 Amemiya, I.; Araki, H.	56	1966
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601 Araki, H.; Woods, E. J.	34	1966
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602 Araki, H.; Woods, E. J.	4	1966
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401 Araki, H.	66	1964
On the algebra of all local observables. Zbl 0125.21904 Araki, H.	49	1964
Representations of canonical anticommutation relations. Zbl 0137.23903 Araki, H.; Wyss, W.	44	1964
Type of von Neumann algebra associated with free field. Zbl 0132.43901 Araki, H.	29	1964
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805 Araki, H.	76	1963
A generalization of Borchers theorem. Zbl 0112.43203 Araki, H.	15	1963
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503 Araki, H.; Hepp, K.; Ruelle, D.	14	1962
On the connection of spin and commutation relations between different fields. Zbl 0119.43901 Araki, Huzihiro	14	1961
The determination of a local or almost local field from a given current. Zbl 0149.46405 Araki, Huzihiro; Haag, Rudolf; Schroer, Bert	6	1961
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101 Araki, H.	3	1961
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906 Araki, H.	71	1960
...and 6 more Documents

all cited Publications top 5 cited Publications

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Cited by 1,465 Authors

35	Longo, Roberto
34	Araki, Huzihiro
33	Hiai, Fumio
26	Petz, Dénes
22	Buchholz, Detlev
16	Bru, Jean-Bernard
16	Carey, Alan L.
16	Neeb, Karl-Hermann
16	Ohya, Masanori
16	Pillet, Claude-Alain
16	Summers, Stephen Jeffrey
15	Matsui, Taku
15	Werner, Reinhard F.
14	Albeverio, Sergio A.
14	Connes, Alain
13	Doyon, Benjamin
13	Fredenhagen, Klaus
13	Jakšić, Vojkan
12	Dybalski, Wojciech
12	Evans, David E.
12	Hollands, Stefan
12	Jørgensen, Palle E. T.
12	Lechner, Gandalf
12	Merkli, Marco
12	Ogata, Yoshiko
12	Watanabe, Noboru
11	Doplicher, Sergio
11	Fröhlich, Jürg Martin
11	Kishimoto, Akitaka
11	Kosaki, Hideki
11	Narnhofer, Heide
11	Streater, Raymond F.
11	Tanimoto, Yoh
11	Vershik, Anatoliĭ Moiseevich
10	Klauder, John Rider
10	Mosonyi, Milán
10	Park, Yong Moon
10	Pinamonti, Nicola
9	Accardi, Luigi
9	Bratteli, Ola
9	Dvurečenskij, Anatolij
9	Fidaleo, Francesco
9	Kittaneh, Fuad
9	Morinelli, Vincenzo
9	Moriya, Hajime
9	Mukhamedov, Farruh Maksutovich
9	Robinson, Derek William
9	Schroer, Bert
9	Verch, Rainer
9	Yamagami, Shigeru
8	Borchers, Hans-Jürgen
8	Bruneau, Laurent
8	Carlen, Eric Anders
8	Chetcuti, Emmanuel
8	Dragomir, Sever Silvestru
8	Graev, Mark Iosifovich
8	Høegh-Krohn, Raphael J.
8	Lieb, Elliott Hershel
8	Ólafsson, Gestur
8	Størmer, Erling
8	Takesaki, Masamichi
8	Tomamichel, Marco
8	Wichmann, Eyvind H.
8	Witten, Edward
7	Aschbacher, Walter H.
7	D’Antoni, Claudio
7	Dappiaggi, Claudio
7	Drago, Nicolò
7	Faulkner, Thomas
7	Golodets, Valentin Yakovlevich
7	Haagerup, Uffe Valentin
7	Hansen, Frank-Peter
7	Jäkel, Christian D.
7	Junge, Marius
7	Lashkari, Nima
7	Majewski, Wladyslaw Adam
7	Morsella, Gerardo
7	Nakagami, Yoshiomi
7	Olkiewicz, Robert
7	Streit, Ludwig
6	Bach, Volker
6	Barnum, Howard
6	Belavkin, Viacheslav
6	Berta, Mario
6	Buhagiar, David
6	Crismale, Vitonofrio
6	Gérard, Christian
6	Guido, Daniele
6	Hamhalter, Jan
6	Hegerfeldt, Gerhard C.
6	Joye, Alain
6	Lytvynov, Yevgen Vil’yamovych
6	Moretti, Valter
6	Mund, Jens
6	Rejzner, Katarzyna
6	Roberts, John Elias
6	Ruzzi, Giuseppe
6	Seo, Yuki
6	Sukochev, Fedor Anatol’evich
6	Thirring, Walter E.
...and 1,365 more Authors

all top 5

Cited in 218 Serials

289	Communications in Mathematical Physics
160	Journal of Mathematical Physics
88	Journal of Functional Analysis
67	Letters in Mathematical Physics
65	Reviews in Mathematical Physics
55	Publications of the Research Institute for Mathematical Sciences, Kyoto University
52	Journal of High Energy Physics
49	Annales Henri Poincaré
41	Reports on Mathematical Physics
40	Journal of Statistical Physics
36	Linear Algebra and its Applications
31	International Journal of Theoretical Physics
26	Journal of Physics A: Mathematical and Theoretical
25	Infinite Dimensional Analysis, Quantum Probability and Related Topics
24	Annals of Physics
24	Foundations of Physics
18	Journal of Mathematical Analysis and Applications
18	Annales de l’Institut Henri Poincaré. Physique Théorique
17	Proceedings of the American Mathematical Society
16	Journal of Geometry and Physics
15	Transactions of the American Mathematical Society
14	Nuclear Physics. B
14	Functional Analysis and its Applications
13	Advances in Mathematics
13	Journal of Statistical Mechanics: Theory and Experiment
13	Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
12	Theoretical and Mathematical Physics
10	Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
10	Open Systems & Information Dynamics
9	International Journal of Mathematics
9	Il Nuovo Cimento, X. Series, A
8	Linear and Multilinear Algebra
8	Journal of Soviet Mathematics
8	Mathematische Annalen
7	Physics Reports
7	Annales de l’Institut Fourier
7	Quantum Information Processing
7	Il Nuovo Cimento, X. Series
7	Quantum Studies: Mathematics and Foundations
6	International Journal of Quantum Information
5	Mathematical Proceedings of the Cambridge Philosophical Society
5	Physics Letters. A
5	Ukrainian Mathematical Journal
5	Acta Mathematica
5	Mathematische Nachrichten
5	Probability Theory and Related Fields
5	Lobachevskii Journal of Mathematics
5	Physical Review, II. Series
5	Journal of Noncommutative Geometry
4	Classical and Quantum Gravity
4	General Relativity and Gravitation
4	Reviews of Modern Physics
4	Integral Equations and Operator Theory
4	Inventiones Mathematicae
4	Mathematische Zeitschrift
4	Tôhoku Mathematical Journal. Second Series
4	Acta Applicandae Mathematicae
4	Expositiones Mathematicae
4	New Journal of Physics
4	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4	Bulletin of the American Mathematical Society
4	Proceedings of the Japan Academy
4	Advances in Operator Theory
3	Communications on Pure and Applied Mathematics
3	Israel Journal of Mathematics
3	Mathematical Notes
3	Rocky Mountain Journal of Mathematics
3	The Annals of Probability
3	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3	Bulletin de la Société Mathématique de France
3	Compositio Mathematica
3	Dissertationes Mathematicae
3	Memoirs of the American Mathematical Society
3	Rendiconti del Seminario Matemàtico e Fisico di Milano
3	Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3	Ergodic Theory and Dynamical Systems
3	Acta Mathematica Hungarica
3	Sugaku Expositions
3	Bulletin of the American Mathematical Society. New Series
3	Mathematical Physics, Analysis and Geometry
3	Algebras and Representation Theory
3	Acta Mathematica Sinica. English Series
3	Operators and Matrices
3	Kyoto Journal of Mathematics
3	Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2	International Journal of Modern Physics A
2	International Journal of Modern Physics B
2	Communications in Algebra
2	Indian Journal of Pure & Applied Mathematics
2	Studia Mathematica
2	Chaos, Solitons and Fractals
2	Annali di Matematica Pura ed Applicata. Serie Quarta
2	Archiv der Mathematik
2	Czechoslovak Mathematical Journal
2	Duke Mathematical Journal
2	Journal of Algebra
2	Journal of Multivariate Analysis
2	Journal für die Reine und Angewandte Mathematik
2	Manuscripta Mathematica
2	Mathematica Slovaca
...and 118 more Serials

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Cited in 59 Fields

890	Quantum theory (81-XX)
811	Functional analysis (46-XX)
294	Statistical mechanics, structure of matter (82-XX)
287	Operator theory (47-XX)
125	Probability theory and stochastic processes (60-XX)
102	Topological groups, Lie groups (22-XX)
97	Information and communication theory, circuits (94-XX)
86	Linear and multilinear algebra; matrix theory (15-XX)
77	Relativity and gravitational theory (83-XX)
56	Partial differential equations (35-XX)
52	Differential geometry (53-XX)
44	Global analysis, analysis on manifolds (58-XX)
39	Nonassociative rings and algebras (17-XX)
38	Dynamical systems and ergodic theory (37-XX)
28	Mathematical logic and foundations (03-XX)
28	Measure and integration (28-XX)
26	Associative rings and algebras (16-XX)
26	Statistics (62-XX)
22	Order, lattices, ordered algebraic structures (06-XX)
20	Abstract harmonic analysis (43-XX)
14	Category theory; homological algebra (18-XX)
14	Group theory and generalizations (20-XX)
14	Mechanics of particles and systems (70-XX)
13	Classical thermodynamics, heat transfer (80-XX)
10	Functions of a complex variable (30-XX)
10	Computer science (68-XX)
9	Algebraic geometry (14-XX)
9	Real functions (26-XX)
9	Geometry (51-XX)
8	Number theory (11-XX)
8	Potential theory (31-XX)
8	Several complex variables and analytic spaces (32-XX)
8	Numerical analysis (65-XX)
7	General and overarching topics; collections (00-XX)
7	History and biography (01-XX)
7	Algebraic topology (55-XX)
7	Optics, electromagnetic theory (78-XX)
6	Combinatorics (05-XX)
6	General topology (54-XX)
6	Manifolds and cell complexes (57-XX)
4	Ordinary differential equations (34-XX)
4	Harmonic analysis on Euclidean spaces (42-XX)
4	Fluid mechanics (76-XX)
3	\(K\)-theory (19-XX)
3	Sequences, series, summability (40-XX)
2	General algebraic systems (08-XX)
2	Commutative algebra (13-XX)
2	Special functions (33-XX)
2	Integral equations (45-XX)
2	Calculus of variations and optimal control; optimization (49-XX)
2	Convex and discrete geometry (52-XX)
2	Astronomy and astrophysics (85-XX)
1	Difference and functional equations (39-XX)
1	Approximations and expansions (41-XX)
1	Integral transforms, operational calculus (44-XX)
1	Mechanics of deformable solids (74-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Biology and other natural sciences (92-XX)
1	Systems theory; control (93-XX)

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