Results 61 to 68 of about 86 (68)

Extreme points in polyhedral Banach spaces

Israel Journal of Mathematics, 2017
Polyhedral Banach spaces were introduced by \textit{V. Klee} at the end of the paper [Acta Math. 103, 243--267 (1960; Zbl 0148.16203)] in 1960 as those real spaces where the unit balls of all subspaces are polygons. \(c_0\) serves as the basic example of such a space, and Klee proved in the last theorem of that paper the non-trivial fact that \(c_0 ...
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Isomorphically Polyhedral Banach Spaces

2016
We prove two theorems giving su??cient conditions for a Banach space to be isomorphically polyhedral.
Fonf, V.P., Pallar??s, A.J., Troyanski, S.   +2 more
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Proximinality Properties in L_p(μ, X) and Polyhedral Direct Sums of Banach Spaces

Numerical Functional Analysis and Optimization, 2014
For a closed subspace Y of a Banach space X, we define a separably determined property for Y in X. We prove that if the strong -ball property is separably determined for Y in X, then L 1(μ, Y) has the strong -ball property in L 1(μ, X). For an M-embedded space X, we give a class of elements in L 1(μ, X **) having best approximations from L 1(μ, X).
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A study of symmetric points in Banach spaces

Linear and Multilinear Algebra, 2022
Satya Bagchi, Vitor Balestro, Saikat Roy   +2 more
exaly  

Some properties of polyhedral Banach spaces

Functional Analysis and Its Applications, 1980
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Lipschitzian stability of parametric variational inequalities over generalized polyhedra in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2011
Wen Song, Boris Mordukhovich
exaly  

Isometric embeddings of compact spaces into Banach spaces

Journal of Functional Analysis, 2008
Gilles Lancien
exaly  

Some properties of polyhedral Banach spaces

Functional Analysis and Its Applications, 1981
V P Fonf, Fonf V P
exaly