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Topologies induced by representations of the canonical commutation relations. (English) Zbl 0258.46051


MSC:

46L05 General theory of \(C^*\)-algebras
46K10 Representations of topological algebras with involution
Full Text: DOI

References:

[1] Araki, H., Progr. Theoret. Phys., 32, 844 (1964) · Zbl 0125.21904
[2] Araki, H., Commun. Math. Phys., 20, 9 (1971) · Zbl 0203.57101
[3] Araki, H.; Woods, E. J., J. Math. Phys., 4, 637 (1963)
[4] Cassels, J. W.S., An Introduction to Diophantine Approximation (1965), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0131.29003
[5] Davies, E. B., J. London Math. Soc., 4, 2, 435 (1972) · Zbl 0229.47015
[6] Dixmier, J., Les algèbres d’opérateurs dans l’espace hilbertien (1969), Gauthier-Villars: Gauthier-Villars Paris · Zbl 0175.43801
[7] Hegerfeldt, G., J. Math. Phys., 13, 45 (1972) · Zbl 0232.46040
[8] Hegerfeldt, G.; Klauder, J. R., Commun. Math. Phys., 16, 329 (1970) · Zbl 0191.27001
[9] Kadison, R., J. Math., 26, 121 (1968) · Zbl 0169.16902
[10] Kaplansky, J. Math., 1, 227 (1951), I · Zbl 0043.11502
[11] Kato, T., Perturbation Theory for Linear Operators (1966), Springer-Verlag: Springer-Verlag New York · Zbl 0148.12601
[12] Klauder, J. R.; McKenna, J.; Woods, E. J., J. Math. Phys., 7, 822 (1966) · Zbl 0139.46102
[13] Ledermann, W., Introduction to the Theory of Finite Groups (1964), Oliver and Boyd: Oliver and Boyd Edinburgh · Zbl 0131.25503
[14] Nielsen, O. A., Commun. Math. Phys., 22, 23 (1971) · Zbl 0211.43003
[15] Von, Neumann J., Comp. Math., 6, 1 (1938)
[16] Woods, E. J., Commun. Math. Phys., 17, 1 (1970) · Zbl 0191.27104
[17] Yosida, K., Funtional Analysis (1965), Springer-Verlag: Springer-Verlag Berlin · Zbl 0126.11504
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