Results 41 to 50 of about 1,401 (73)
A note on nonfragmentability of Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 39-44, 2001., 2001 We use Kenderov‐Moors characterization of fragmentability to show that if a compact Hausdorff space X with the tree‐completeness property contains a disjoint sequences of clopen sets, then (C(X), weak) is not fragmented by any metric which is stronger than weak topology.
S. Alireza Kamel Mirmostafaee
wiley +1 more source
EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS
Forum of Mathematics, Sigma, 2017 We study uniform and coarse embeddings between Banach spaces and topological groups. A particular focus is put on equivariant embeddings, that is, continuous cocycles associated to continuous affine isometric actions of topological groups on separable ...
CHRISTIAN ROSENDAL
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An Inequality in Metric Spaces [PDF]
, 2004 In this note we establish a general inequality valid in metric spaces that is related to the polygonal inequality and admits also a natural geometrical interpretation.
Dragomir, Sever S, Goşa, Anca C
core
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 10, Page 631-639, 2001., 2001 Given an n‐normed space with n ≥ 2, we offer a simple way to derive an (n − 1)‐norm from the n‐norm and realize that any n‐normed space is an (n − 1)‐normed space. We also show that, in certain cases, the (n − 1)‐norm can be derived from the n‐norm in such a way that the convergence and completeness in the n‐norm is equivalent to those in the derived ...
Hendra Gunawan, M. Mashadi
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SPARSE APPROXIMATION AND RECOVERY BY GREEDY ALGORITHMS IN BANACH SPACES
Forum of Mathematics, Sigma, 2014 We study sparse approximation by greedy algorithms. We prove the Lebesgue-type inequalities for the weak Chebyshev greedy algorithm (WCGA), a generalization of the weak orthogonal matching pursuit to the case of a Banach space.
V. N. TEMLYAKOV
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KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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On Various Types of Uniform Rotundities
Annales Mathematicae SilesianaeIn this study, we conduct a literature review on normed linear spaces whose strengths are between rotundity and uniform rotundity. In this discourse, we also explore inter-relationships and juxtapositions between the subjects under consideration.
Narang Tulsi Dass +2 more
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Uniform G-Convexity for Vector-Valued Lp Spaces [PDF]
, 2009 2000 Mathematics Subject Classification: 46B20.Uniform G-convexity of Banach spaces is a recently introduced natural generalization of uniform convexity and of complex uniform convexity.
Boyko, Nataliia, Kadets, Vladimir
core
The diameter of the Birkhoff polytope
Special MatricesThe geometry of the compact convex set of all n×nn\times n doubly stochastic matrices, a structure frequently referred to as the Birkhoff polytope, has been an active subject of research as of late.
Bouthat Ludovick +2 more
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Noncyclic Meir-Keeler contractions and best proximity pair theorems
Demonstratio Mathematica, 2018 In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces.
Gabeleh Moosa, Markin Jack
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