×

zbMATH — the first resource for mathematics

Alimov, Alexey R.

Compute Distance To:
Author ID: alimov.alexey-r Recent zbMATH articles by "Alimov, Alexey R."
Published as: Alimov, A. R.; Alimov, Alexey R.; Alimov, Alekseĭ R.; Alimov, Alekseĭ Rostislavovich; Alimov, Alexey; Alimov, A.
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 50 Publications since 1995
Reviewing Activity: 289 Reviews

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 195 times in 69 Documents Cited by Year
Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031
Alimov, A. R.; Tsar’kov, I. G.
37
2016
Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011
Alimov, A. R.
17
2006
Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018
Alimov, A. R.
13
2014
Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012
Alimov, Alexey R.; Tsar’kov, I. G.
13
2016
On the structure of the complements of Chebyshev sets. Zbl 1099.41501
Alimov, A. R.
11
2001
Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028
Alimov, A. R.; Tsar’kov, I. G.
8
2019
The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027
Alimov, A. R.
7
2005
Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039
Alimov, Alexey R.
6
2017
Separation of convex sets by extreme hyperplanes. Zbl 1280.52022
Alimov, A. R.; Protasov, V. Yu.
6
2013
Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003
Alimov, A. R.
6
2006
Sets with external Chebyshev layer. Zbl 0988.41019
Alimov, A. R.; Karlov, M. I.
5
2001
A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503
Alimov, A. R.
5
2001
Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024
Alimov, A. R.
5
2014
Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009
Alimov, A. R.
5
2005
Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018
Alimov, A. R.
5
2008
Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009
Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V.
5
2018
A monotone path connected Chebyshev set is a sun. Zbl 1285.41018
Alimov, A. R.
4
2012
Local solarity of suns in normed linear spaces. Zbl 1314.46018
Alimov, A. R.
3
2014
On finite-dimensional Banach spaces in which suns are connected. Zbl 07238416
Alimov, Alekseĭ Rostislavovich
3
2015
Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008
Alimov, A. R.
3
2005
Chebyshev compact sets in the plane. Zbl 0952.41016
Alimov, A. R.
3
1997
Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056
Alimov, Alexey R.
2
2004
The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067
Alimov, A. R.
2
2003
Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009
Alimov, A. R.
2
2012
A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014
Alimov, Alexey R.
2
2017
A number of connected components of sun’s complement. Zbl 0860.46007
Alimov, A. R.
2
1995
Chebyshev set’s complement. Zbl 0866.46006
Alimov, A. R.
2
1996
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V.
2
2019
On approximative properties of locally Chebyshev sets. Zbl 1405.41017
Alimov, Alexey R.
2
2018
Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041
Alimov, Alekseĭ R.
2
2018
The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006
Alimov, A. R.
1
2014
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
1
2015
Solarity of sets in max-approximation problems. Zbl 1442.41010
Alimov, Alexey R.
1
2019
Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011
Alimov, Alexey R.
1
2016
Singularities of solutions of the eikonal equation. Zbl 1439.35498
Alimov, A. R.
1
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.
1
2019
Solstice property for a system of 2-spaces. Zbl 0914.46011
Alimov, A. R.
1
1998
Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028
Alimov, A. R.; Tsar’kov, I. G.
8
2019
Convexity of suns in tangent directions. Zbl 1441.46012
Alimov, Alexey R.; Shchepin, Evgeny V.
2
2019
Solarity of sets in max-approximation problems. Zbl 1442.41010
Alimov, Alexey R.
1
2019
Singularities of solutions of the eikonal equation. Zbl 1439.35498
Alimov, A. R.
1
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.
1
2019
Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009
Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V.
5
2018
On approximative properties of locally Chebyshev sets. Zbl 1405.41017
Alimov, Alexey R.
2
2018
Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041
Alimov, Alekseĭ R.
2
2018
Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039
Alimov, Alexey R.
6
2017
A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014
Alimov, Alexey R.
2
2017
Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031
Alimov, A. R.; Tsar’kov, I. G.
37
2016
Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012
Alimov, Alexey R.; Tsar’kov, I. G.
13
2016
Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011
Alimov, Alexey R.
1
2016
On finite-dimensional Banach spaces in which suns are connected. Zbl 07238416
Alimov, Alekseĭ Rostislavovich
3
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
1
2015
Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018
Alimov, A. R.
13
2014
Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024
Alimov, A. R.
5
2014
Local solarity of suns in normed linear spaces. Zbl 1314.46018
Alimov, A. R.
3
2014
The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006
Alimov, A. R.
1
2014
Separation of convex sets by extreme hyperplanes. Zbl 1280.52022
Alimov, A. R.; Protasov, V. Yu.
6
2013
A monotone path connected Chebyshev set is a sun. Zbl 1285.41018
Alimov, A. R.
4
2012
Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009
Alimov, A. R.
2
2012
Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018
Alimov, A. R.
5
2008
Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011
Alimov, A. R.
17
2006
Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003
Alimov, A. R.
6
2006
The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027
Alimov, A. R.
7
2005
Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009
Alimov, A. R.
5
2005
Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008
Alimov, A. R.
3
2005
Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056
Alimov, Alexey R.
2
2004
The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067
Alimov, A. R.
2
2003
On the structure of the complements of Chebyshev sets. Zbl 1099.41501
Alimov, A. R.
11
2001
Sets with external Chebyshev layer. Zbl 0988.41019
Alimov, A. R.; Karlov, M. I.
5
2001
A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503
Alimov, A. R.
5
2001
Solstice property for a system of 2-spaces. Zbl 0914.46011
Alimov, A. R.
1
1998
Chebyshev compact sets in the plane. Zbl 0952.41016
Alimov, A. R.
3
1997
Chebyshev set’s complement. Zbl 0866.46006
Alimov, A. R.
2
1996
A number of connected components of sun’s complement. Zbl 0860.46007
Alimov, A. R.
2
1995

Citations by Year