Results 41 to 50 of about 4,038,548 (77)
Unit balls of polyhedral Banach spaces with many extreme points
Let E be a (IV)-polyhedral Banach space. We show that, for each epsilon > 0, E admits an epsilon-equivalent (V)-polyhedral norm such that the corresponding closed unit ball is the closed convex hull of its extreme points.
De Bernardi C. A.
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Weak convergence and weak compactness for multifunctions with values in a separable Banach space [PDF]
, 1990 In this paper we extend the notion of weak convergence to Banach space valued integrable multifunctions. We prove some properties of this mode of convergence and we show that under certain hypotheses the space of uniformly bounded, w w ...
Papageorgiou, N +1 more
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Geometry of Banach spaces with property β
, 1999 The authors wish to thank S. Troyanski for valuable discussions. Also, they are very grateful to the referee for many helpful suggestions and, in particular, for observing the validity of Proposition 3.2.We prove that every Banach space can be ...
Moreno, José Pedro +2 more
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On some special subspaces of a Banach space, from the perspective of best coapproximation [PDF]
We study the best coapproximation problem in Banach spaces, by using Birkhoff-James orthogonality techniques. We introduce two special types of subspaces, christened the anti-coproximinal subspaces and the strongly anti-coproximinal subspaces.
Ghosh, Souvik +3 more
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, 2014 The present note is a corrigendum to the paper "Best approximation in polyhedral Banach spaces", J. Approx.
J. Lindenstrauss, V. P. Fonf, L. Vesely
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On extreme points of the dual ball of a polyhedral space [PDF]
, 2009 We prove that every separable polyhedral Banach space X is isomorphic to a polyhedral Banach space Y such that, the set ext Bᵧ ∗cannot be covered by a sequence of balls B (i; i) with 0 < i < 1 and i ⟶ 0.
Livni, Roi
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Extreme contractions on finite-dimensional Banach spaces [PDF]
We study extreme contractions in the setting of finite-dimensional polyhedral Banach spaces. Motivated by the famous Krein-Milman Theorem, we prove that a \emph{rank one} norm one linear operator between such spaces can be expressed as a convex ...
Paul, Kallol +2 more
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Equilibria in reflexive Banach lattices with a continuum of agents. [PDF]
We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras ...
Monteiro, Paulo K. +2 more
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ON BANACH SPACES WITH THE APPROXIMATE HYPERPLANE SERIES PROPERTY
, 2019 We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get a stability result to vector-valued spaces of integrable functions.
Choi, YS, Lee, HJ, Martin, M, Kim, SK
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Generators of maximal left ideals in Banach algebras [PDF]
, 2012 In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
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