Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031
Alimov, A. R.; Tsar’kov, I. G. |
|
2016
|
Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011
Alimov, A. R. |
|
2006
|
On the structure of the complements of Chebyshev sets. Zbl 1099.41501
Alimov, A. R. |
|
2001
|
Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018
Alimov, A. R. |
|
2014
|
Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012
Alimov, Alexey R.; Tsar’kov, I. G. |
|
2016
|
Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028
Alimov, A. R.; Tsar’kov, I. G. |
|
2019
|
The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067
Alimov, A. R. |
|
2003
|
Geometric approximation theory. Zbl 1494.41001
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2022
|
Ball-complete sets and solar properties of sets in asymmetric spaces. Zbl 1506.46016
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2022
|
Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024
Alimov, A. R. |
|
2014
|
\(\mathring{B}\)-complete sets: approximative and structural properties. Zbl 1506.46017
Alimov, A. R.; Tsarkov, I. G. |
|
2022
|
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2022
|
Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009
Alimov, A. R. |
|
2005
|
Monotone path-connectedness of Chebyshev sets in three-dimensional spaces. Zbl 1472.41019
Alimov, Alexey R.; Bednov, Borislav B. |
|
2021
|
Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039
Alimov, Alexey R. |
|
2017
|
The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027
Alimov, A. R. |
|
2005
|
Separation of convex sets by extreme hyperplanes. Zbl 1280.52022
Alimov, A. R.; Protasov, V. Yu. |
|
2013
|
Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\). Zbl 1464.46022
Alimov, A. R.; Tsar’kov, I. G. |
|
2021
|
Sets with external Chebyshev layer. Zbl 0988.41019
Alimov, A. R.; Karlov, M. I. |
|
2001
|
Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns. Zbl 1489.41020
Alimov, A. R.; Tsar’kov, I. G. |
|
2021
|
Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009
Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V. |
|
2018
|
Some classical problems of geometric approximation theory in asymmetric spaces. Zbl 1522.46012
Alimov, A. R.; Tsar’kov, I. G. |
|
2022
|
Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018
Alimov, A. R. |
|
2008
|
A monotone path connected Chebyshev set is a sun. Zbl 1285.41018
Alimov, A. R. |
|
2012
|
Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003
Alimov, A. R. |
|
2006
|
Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\). Zbl 1525.41007
Alimov, A. R.; Tsar’kov, I. G. |
|
2022
|
Local solarity of suns in normed linear spaces. Zbl 1314.46018
Alimov, A. R. |
|
2014
|
A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503
Alimov, A. R. |
|
2001
|
Strict protosuns in asymmetric spaces of continuous functions. Zbl 1517.41013
Alimov, Alexey R. |
|
2023
|
Solarity of sets in max-approximation problems. Zbl 1442.41010
Alimov, Alexey R. |
|
2019
|
Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008
Alimov, A. R. |
|
2005
|
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V. |
|
2019
|
Solarity of Chebyshev sets in dual spaces and uniquely remotal sets. Zbl 1470.41027
Alimov, A. R. |
|
2021
|
Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009
Alimov, A. R. |
|
2012
|
On finite-dimensional Banach spaces in which suns are connected. Zbl 1474.46027
Alimov, Alekseĭ Rostislavovich |
|
2015
|
On approximative properties of locally Chebyshev sets. Zbl 1405.41017
Alimov, Alexey R. |
|
2018
|
Monotone path-connectedness of strict suns. Zbl 1521.41010
Alimov, A. R. |
|
2022
|
Universality theorems for asymmetric spaces. Zbl 1528.46021
Alimov, A. R. |
|
2023
|
Existence, uniqueness, and stability of best and near-best approximations. Zbl 1534.41017
Alimov, Alexey R.; Ryutin, Konstantin S.; Tsar’kov, Igor G. |
|
2023
|
The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006
Alimov, A. R. |
|
2014
|
Singularities of solutions of the eikonal equation. Zbl 1439.35498
Alimov, A. R. |
|
2019
|
Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041
Alimov, Alekseĭ R. |
|
2018
|
Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties. Zbl 1423.41050
Alimov, A. R. |
|
2019
|
Chebyshev compact sets in the plane. Zbl 0952.41016
Alimov, A. R. |
|
1997
|
A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014
Alimov, Alexey R. |
|
2017
|
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan |
|
2015
|
Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056
Alimov, Alexey R. |
|
2004
|
A number of connected components of sun’s complement. Zbl 0860.46007
Alimov, A. R. |
|
1995
|
Chebyshev set’s complement. Zbl 0866.46006
Alimov, A. R. |
|
1996
|
Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011
Alimov, Alexey R. |
|
2016
|
Compound renewal processes. Zbl 1519.60002
Borovkov, A. A.; Alimov, Alexey |
|
2022
|
Examples of Chebyshev sets in matrix spaces. Zbl 0943.41015
Alimov, A. R.; Berens, H. |
|
1999
|
Solstice property for a system of 2-spaces. Zbl 0914.46011
Alimov, A. R. |
|
1998
|
Chebyshev unions of planes, and their approximative and geometric properties. Zbl 07806805
Alimov, A. R.; Tsar’kov, I. G. |
|
2024
|
Max-solar properties of sets in normed and asymmetrically normed spaces. Zbl 1515.41020
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2023
|
Approximative solar properties of sets and local geometry of the unit sphere. Zbl 1537.41023
Alimov, A. R. |
|
2023
|
Classical problems of rational approximation. Zbl 1528.41073
Alimov, A. R.; Tsar’kov, I. G. |
|
2022
|
On local properties of spaces implying monotone path-connectedness of suns. Zbl 1535.41031
Alimov, A. R. |
|
2023
|
Bounded contractibility of strict suns in three-dimensional spaces. Zbl 1452.46010
Alimov, A. R. |
|
2020
|
Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\). Zbl 1452.41016
Alimov, A. R. |
|
2020
|
Chebyshev unions of planes, and their approximative and geometric properties. Zbl 07806805
Alimov, A. R.; Tsar’kov, I. G. |
|
2024
|
Strict protosuns in asymmetric spaces of continuous functions. Zbl 1517.41013
Alimov, Alexey R. |
|
2023
|
Universality theorems for asymmetric spaces. Zbl 1528.46021
Alimov, A. R. |
|
2023
|
Existence, uniqueness, and stability of best and near-best approximations. Zbl 1534.41017
Alimov, Alexey R.; Ryutin, Konstantin S.; Tsar’kov, Igor G. |
|
2023
|
Max-solar properties of sets in normed and asymmetrically normed spaces. Zbl 1515.41020
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2023
|
Approximative solar properties of sets and local geometry of the unit sphere. Zbl 1537.41023
Alimov, A. R. |
|
2023
|
On local properties of spaces implying monotone path-connectedness of suns. Zbl 1535.41031
Alimov, A. R. |
|
2023
|
Geometric approximation theory. Zbl 1494.41001
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2022
|
Ball-complete sets and solar properties of sets in asymmetric spaces. Zbl 1506.46016
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2022
|
\(\mathring{B}\)-complete sets: approximative and structural properties. Zbl 1506.46017
Alimov, A. R.; Tsarkov, I. G. |
|
2022
|
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces. Zbl 1515.41019
Alimov, Alexey R.; Tsar’kov, Igor’ G. |
|
2022
|
Some classical problems of geometric approximation theory in asymmetric spaces. Zbl 1522.46012
Alimov, A. R.; Tsar’kov, I. G. |
|
2022
|
Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\). Zbl 1525.41007
Alimov, A. R.; Tsar’kov, I. G. |
|
2022
|
Monotone path-connectedness of strict suns. Zbl 1521.41010
Alimov, A. R. |
|
2022
|
Compound renewal processes. Zbl 1519.60002
Borovkov, A. A.; Alimov, Alexey |
|
2022
|
Classical problems of rational approximation. Zbl 1528.41073
Alimov, A. R.; Tsar’kov, I. G. |
|
2022
|
Monotone path-connectedness of Chebyshev sets in three-dimensional spaces. Zbl 1472.41019
Alimov, Alexey R.; Bednov, Borislav B. |
|
2021
|
Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\). Zbl 1464.46022
Alimov, A. R.; Tsar’kov, I. G. |
|
2021
|
Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns. Zbl 1489.41020
Alimov, A. R.; Tsar’kov, I. G. |
|
2021
|
Solarity of Chebyshev sets in dual spaces and uniquely remotal sets. Zbl 1470.41027
Alimov, A. R. |
|
2021
|
Bounded contractibility of strict suns in three-dimensional spaces. Zbl 1452.46010
Alimov, A. R. |
|
2020
|
Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\). Zbl 1452.41016
Alimov, A. R. |
|
2020
|
Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028
Alimov, A. R.; Tsar’kov, I. G. |
|
2019
|
Solarity of sets in max-approximation problems. Zbl 1442.41010
Alimov, Alexey R. |
|
2019
|
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V. |
|
2019
|
Singularities of solutions of the eikonal equation. Zbl 1439.35498
Alimov, A. R. |
|
2019
|
Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties. Zbl 1423.41050
Alimov, A. R. |
|
2019
|
Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009
Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V. |
|
2018
|
On approximative properties of locally Chebyshev sets. Zbl 1405.41017
Alimov, Alexey R. |
|
2018
|
Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041
Alimov, Alekseĭ R. |
|
2018
|
Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039
Alimov, Alexey R. |
|
2017
|
A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014
Alimov, Alexey R. |
|
2017
|
Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031
Alimov, A. R.; Tsar’kov, I. G. |
|
2016
|
Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012
Alimov, Alexey R.; Tsar’kov, I. G. |
|
2016
|
Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011
Alimov, Alexey R. |
|
2016
|
On finite-dimensional Banach spaces in which suns are connected. Zbl 1474.46027
Alimov, Alekseĭ Rostislavovich |
|
2015
|
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan |
|
2015
|
Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018
Alimov, A. R. |
|
2014
|
Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024
Alimov, A. R. |
|
2014
|
Local solarity of suns in normed linear spaces. Zbl 1314.46018
Alimov, A. R. |
|
2014
|
The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006
Alimov, A. R. |
|
2014
|
Separation of convex sets by extreme hyperplanes. Zbl 1280.52022
Alimov, A. R.; Protasov, V. Yu. |
|
2013
|
A monotone path connected Chebyshev set is a sun. Zbl 1285.41018
Alimov, A. R. |
|
2012
|
Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009
Alimov, A. R. |
|
2012
|
Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018
Alimov, A. R. |
|
2008
|
Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011
Alimov, A. R. |
|
2006
|
Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003
Alimov, A. R. |
|
2006
|
Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009
Alimov, A. R. |
|
2005
|
The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027
Alimov, A. R. |
|
2005
|
Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008
Alimov, A. R. |
|
2005
|
Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056
Alimov, Alexey R. |
|
2004
|
The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067
Alimov, A. R. |
|
2003
|
On the structure of the complements of Chebyshev sets. Zbl 1099.41501
Alimov, A. R. |
|
2001
|
Sets with external Chebyshev layer. Zbl 0988.41019
Alimov, A. R.; Karlov, M. I. |
|
2001
|
A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503
Alimov, A. R. |
|
2001
|
Examples of Chebyshev sets in matrix spaces. Zbl 0943.41015
Alimov, A. R.; Berens, H. |
|
1999
|
Solstice property for a system of 2-spaces. Zbl 0914.46011
Alimov, A. R. |
|
1998
|
Chebyshev compact sets in the plane. Zbl 0952.41016
Alimov, A. R. |
|
1997
|
Chebyshev set’s complement. Zbl 0866.46006
Alimov, A. R. |
|
1996
|
A number of connected components of sun’s complement. Zbl 0860.46007
Alimov, A. R. |
|
1995
|