Results 41 to 50 of about 128 (122)

Some extremal properties of section spaces of Banach bundles and their duals

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 10, Page 563-572, 2002., 2002
When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X, E) of continuous E‐valued functions on X. What happens if the Banach spaces in which the functions on X take their values vary over X?
D. A. Robbins
wiley   +1 more source

Boundedness and surjectivity in normed spaces

International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 3, Page 149-165, 2002., 2002
We define the (w* ‐) boundedness property and the (w* ‐) surjectivity property for sets in normed spaces. We show that these properties are pairwise equivalent in complete normed spaces by characterizing them in terms of a category‐like property called (w* ‐) thickness. We give examples of interesting sets having or not having these properties.
Olav Nygaard
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
doaj   +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

On Various Types of Uniform Rotundities

Annales Mathematicae Silesianae
In 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, Chandok Sumit, Gupta Sahil   +2 more
doaj   +1 more source

The diameter of the Birkhoff polytope

Special Matrices
The 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, Mashreghi Javad, Morneau-Guérin Frédéric   +2 more
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
Vishnyakova, Anna, Martín, Miguel, Kadets, Vladimir, Katkova, Olga   +3 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.
Kadets, Vladimir, Boyko, Nataliia
core  

On a universal inequality for approximate phase isometries

39B05; 46B04; 46B20; Banach space; phase isometry; ε-phase ...
Dai, Duanxu, Zheng, Bentuo, Sun, Longfa, Que, Haixin   +3 more
core   +1 more source

Plus-Minus Property as a Generalization of the Daugavet Property [PDF]

, 2010
2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to ...
Shepelska, Varvara
core