Edit Profile Alimov, Alexey R. Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 37 single-authored 4 Tsar’kov, Igor’ Germanovich 3 Shchepin, Evgenij V. 1 Bednov, Borislav Borisovich 1 Berdysheva, Elena E. 1 Berens, Hubert Anton 1 Bukhzhalev, Evgeny E. 1 Butzer, Paul Leo 1 Dahmen, Wolfgang A. 1 DeVore, Ron 1 Filbir, Frank-Dieter 1 Jetter, Kurt 1 Karlov, M. I. 1 Mhaskar, Hrushikesh N. 1 Nevai, Paul G. 1 Protasov, Vladimir Yu. 1 Sauer, Tomas 1 Schumaker, Larry L. 1 Sommer, Manfred 1 Strauss, Hans 1 Xu, Yuan 1 zu Castell, Wolfgang all top 5 Serials 5 Mathematical Notes 5 Russian Mathematical Surveys 5 Journal of Mathematical Sciences (New York) 4 Journal of Approximation Theory 3 East Journal on Approximations 3 Sbornik: Mathematics 3 Izvestiya: Mathematics 3 Eurasian Mathematical Journal 2 Moscow University Mathematics Bulletin 2 Theory of Probability and its Applications 2 Functional Analysis and its Applications 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Siberian Mathematical Journal 1 Turkish Journal of Mathematics 1 Journal of Convex Analysis 1 Doklady Mathematics 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis all top 5 Fields 37 Approximations and expansions (41-XX) 29 Functional analysis (46-XX) 9 Convex and discrete geometry (52-XX) 6 General topology (54-XX) 3 History and biography (01-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 1350.41031Alimov, A. R.; Tsar’kov, I. G. 37 2016 Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011Alimov, A. R. 17 2006 Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces. Zbl 1303.41018Alimov, A. R. 13 2014 Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012Alimov, Alexey R.; Tsar’kov, I. G. 13 2016 On the structure of the complements of Chebyshev sets. Zbl 1099.41501Alimov, A. R. 11 2001 Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028Alimov, A. R.; Tsar’kov, I. G. 8 2019 The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027Alimov, A. R. 7 2005 Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039Alimov, Alexey R. 6 2017 Separation of convex sets by extreme hyperplanes. Zbl 1280.52022Alimov, A. R.; Protasov, V. Yu. 6 2013 Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003Alimov, A. R. 6 2006 Sets with external Chebyshev layer. Zbl 0988.41019Alimov, A. R.; Karlov, M. I. 5 2001 A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503Alimov, A. R. 5 2001 Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024Alimov, A. R. 5 2014 Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009Alimov, A. R. 5 2005 Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018Alimov, A. R. 5 2008 Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V. 5 2018 A monotone path connected Chebyshev set is a sun. Zbl 1285.41018Alimov, A. R. 4 2012 Local solarity of suns in normed linear spaces. Zbl 1314.46018Alimov, A. R. 3 2014 On finite-dimensional Banach spaces in which suns are connected. Zbl 07238416Alimov, Alekseĭ Rostislavovich 3 2015 Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008Alimov, A. R. 3 2005 Chebyshev compact sets in the plane. Zbl 0952.41016Alimov, A. R. 3 1997 Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056Alimov, Alexey R. 2 2004 The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067Alimov, A. R. 2 2003 Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009Alimov, A. R. 2 2012 A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014Alimov, Alexey R. 2 2017 A number of connected components of sun’s complement. Zbl 0860.46007Alimov, A. R. 2 1995 Chebyshev set’s complement. Zbl 0866.46006Alimov, A. R. 2 1996 Convexity of suns in tangent directions. Zbl 1441.46012Alimov, Alexey R.; Shchepin, Evgeny V. 2 2019 On approximative properties of locally Chebyshev sets. Zbl 1405.41017Alimov, Alexey R. 2 2018 Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041Alimov, Alekseĭ R. 2 2018 The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006Alimov, A. R. 1 2014 In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021Alimov, 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 1442.41010Alimov, Alexey R. 1 2019 Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011Alimov, Alexey R. 1 2016 Singularities of solutions of the eikonal equation. Zbl 1439.35498Alimov, 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 1423.41050Alimov, A. R. 1 2019 Solstice property for a system of 2-spaces. Zbl 0914.46011Alimov, A. R. 1 1998 Chebyshev centres, Jung constants, and their applications. Zbl 1435.41028Alimov, A. R.; Tsar’kov, I. G. 8 2019 Convexity of suns in tangent directions. Zbl 1441.46012Alimov, Alexey R.; Shchepin, Evgeny V. 2 2019 Solarity of sets in max-approximation problems. Zbl 1442.41010Alimov, Alexey R. 1 2019 Singularities of solutions of the eikonal equation. Zbl 1439.35498Alimov, 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 1423.41050Alimov, A. R. 1 2019 Convexity of Chebyshev sets with respect to tangent directions. Zbl 1404.41009Alimov, Alekseĭ R.; Shchepin, Evgeniĭ V. 5 2018 On approximative properties of locally Chebyshev sets. Zbl 1405.41017Alimov, Alexey R. 2 2018 Selections of the best and near-best approximation operators and solarity. Zbl 1423.41041Alimov, Alekseĭ R. 2 2018 Selections of the metric projection operator and strict solarity of sets with continuous metric projection. Zbl 1426.41039Alimov, Alexey R. 6 2017 A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. Zbl 1376.46014Alimov, Alexey R. 2 2017 Connectedness and solarity in problems of best and near-best approximation. Zbl 1350.41031Alimov, A. R.; Tsar’kov, I. G. 37 2016 Connectedness and other geometric properties of suns and Chebyshev sets. Zbl 1361.46012Alimov, Alexey R.; Tsar’kov, I. G. 13 2016 Mazur spaces and 4.3-intersection property of \((BM)\)-spaces. Zbl 1361.46011Alimov, Alexey R. 1 2016 On finite-dimensional Banach spaces in which suns are connected. Zbl 07238416Alimov, Alekseĭ Rostislavovich 3 2015 In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021Alimov, 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 1303.41018Alimov, A. R. 13 2014 Convexity of bounded Chebyshev sets in finite-dimensional asymmetrically normed spaces. Zbl 1310.41024Alimov, A. R. 5 2014 Local solarity of suns in normed linear spaces. Zbl 1314.46018Alimov, A. R. 3 2014 The Rainwater-Simons weak convergence theorem for the Brown associated norm. Zbl 1326.46006Alimov, A. R. 1 2014 Separation of convex sets by extreme hyperplanes. Zbl 1280.52022Alimov, A. R.; Protasov, V. Yu. 6 2013 A monotone path connected Chebyshev set is a sun. Zbl 1285.41018Alimov, A. R. 4 2012 Monotone path-connectedness of \(R\)-weakly convex sets in spaces with linear ball embedding. Zbl 1269.46009Alimov, A. R. 2 2012 Preservation of approximative properties of Chebyshev sets and suns in a plane. Zbl 1304.41018Alimov, A. R. 5 2008 Monotone path-connectedness of Chebyshev sets in the space \(C(Q)\). Zbl 1147.41011Alimov, A. R. 17 2006 Preservation of approximative properties of subsets of Chebyshev sets and suns in \(\ell^\infty(n)\). Zbl 1157.41003Alimov, A. R. 6 2006 The geometric structure of Chebyshev sets in \(\ell^\infty(n)\). Zbl 1087.41027Alimov, A. R. 7 2005 Connectedness of suns in the space \(c_ 0\). Zbl 1095.46009Alimov, A. R. 5 2005 Convexity of Chebyshev sets contained in a subspace. Zbl 1095.46008Alimov, A. R. 3 2005 Characterisations of Chebyshev sets in \(c_{0}\). Zbl 1065.41056Alimov, Alexey R. 2 2004 The Banach-Mazur theorem for spaces with nonsymmetric distance. Zbl 1064.46067Alimov, A. R. 2 2003 On the structure of the complements of Chebyshev sets. Zbl 1099.41501Alimov, A. R. 11 2001 Sets with external Chebyshev layer. Zbl 0988.41019Alimov, A. R.; Karlov, M. I. 5 2001 A geometric characterization of strict suns in the space \(l^\infty(n)\). Zbl 1027.46503Alimov, A. R. 5 2001 Solstice property for a system of 2-spaces. Zbl 0914.46011Alimov, A. R. 1 1998 Chebyshev compact sets in the plane. Zbl 0952.41016Alimov, A. R. 3 1997 Chebyshev set’s complement. Zbl 0866.46006Alimov, A. R. 2 1996 A number of connected components of sun’s complement. Zbl 0860.46007Alimov, A. R. 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 38 Authors 24 Alimov, Alexey R. 21 Tsar’kov, Igor’ Germanovich 4 Alegre, Carmen 4 Romaguera Bonilla, Salvador 4 Shchepin, Evgenij V. 3 Ivanov, Grigorii E. 3 Sánchez-Pérez, Enrique Alfonso 2 Dudov, Sergeĭ Ivanovich 2 García-Raffi, Luis M. 2 Lebedev, Pavel Dmitrievich 2 Lopushanski, Mariana S. 2 Shklyaev, Konstantin S. 2 Valero, Oscar 1 Abramova, Veronika Valer’evna 1 Alimov, A. P. 1 Balestro, Vitor 1 Bednov, Borislav Borisovich 1 Butzer, Paul Leo 1 Cobzaş, Ştefan 1 Ferrando, Irene 1 Graev, Mark Iosifovich 1 Kozko, Artem Ivanovich 1 Lin, Fucai 1 Lin, Shou 1 Liu, Chuan 1 Martini, Horst 1 Nath, Triloki 1 Nikonorov, Yurii Gennadyevich 1 Nikonorova, Yulia V. 1 Osiptsev, Mikhaĭl Anatol’evich 1 Palin, Vladimir Vladimirovich 1 Polovinkin, Evgenii Sergeevich 1 Protasov, Vladimir Yu. 1 Stens, Rudolf L. 1 Ushakov, Vladimir Nikolaevich 1 Uspenskiĭ, Aleksandr Aleksandrovich 1 Veeramani, P. 1 Vershik, Anatoliĭ Moiseevich all top 5 Cited in 29 Serials 11 Journal of Mathematical Sciences (New York) 9 Mathematical Notes 5 Sbornik: Mathematics 4 Moscow University Mathematics Bulletin 3 Russian Mathematical Surveys 3 Journal of Approximation Theory 3 Topology and its Applications 3 Russian Journal of Mathematical Physics 3 Izvestiya: Mathematics 2 Functional Analysis and its Applications 2 Acta Mathematica Hungarica 2 Doklady Mathematics 2 Lobachevskii Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Fuzzy Sets and Systems 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Russian Mathematics 1 The Journal of Analysis 1 Journal of Convex Analysis 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Differential Equations 1 Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis 1 Eurasian Mathematical Journal 1 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 20 Fields 44 Approximations and expansions (41-XX) 34 Functional analysis (46-XX) 23 General topology (54-XX) 8 Convex and discrete geometry (52-XX) 5 Operator theory (47-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 3 Optics, electromagnetic theory (78-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Citations by Year