Results 41 to 50 of about 2,678 (104)
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
Tight Embeddability of Proper and Stable Metric Spaces
Analysis and Geometry in Metric Spaces, 2015 We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for p ∈ [1,∞], every proper subset of Lp is almost Lipschitzly embeddable into a Banach space X if and only if X contains uniformly the ℓpn’s. We
Baudier F., Lancien G.
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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
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A short proof of some recent results related to Ces{\`a}ro function spaces
, 2012 We give a short proof of the recent results that, for every $1\leq p< \infty,$ the Ces{\`a}ro function space $Ces_p(I)$ is not a dual space, has the weak Banach-Saks property and does not have the Radon-Nikodym property.Comment: 4 ...
Astashkin, Sergey V., Maligranda, Lech
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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
wiley +1 more source
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
doaj +1 more source
Convexity around the Unit of a Banach Algebra [PDF]
, 2008 2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12.We estimate the (midpoint) modulus of convexity at the unit 1 of a Banach algebra A showing that inf {max±||1 ± x|| − 1 : x ∈ A, ||x||=ε} ≥ (π/4e)ε²+o(ε²) as ε → 0. We also
Kadets, Vladimir +3 more
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A really simple elementary proof of the uniform boundedness theorem
, 2010 I give a proof of the uniform boundedness theorem that is elementary (i.e. does not use any version of the Baire category theorem) and also extremely simple.Comment: LaTex2e, 5 pages. Version 2 improves the exposition by isolating the key lemma.
Sokal, Alan D.
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On Milman’s moduli for Banach spaces
Abstract and Applied Analysis, Volume 6, Issue 2, Page 115-129, 2001., 2001 We show that infinite dimensional geometric moduli introduced by Milman are strongly related to nearly uniform convexity and nearly uniform smoothness. An application of those moduli to fixed point theory is given.
Elisabetta Maluta +2 more
wiley +1 more source
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
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