Characterizations of almost transitive superreflexive Banach spaces

Julio Becerra Guerrero; Angel Rodriguez Palacios

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Transitivity of the norm on Banach spaces.

Julio Becerra Guerrero, A. Rodríguez-Palacios (2002)

Extracta Mathematicae

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Dual spaces generated by the interior of the set of norm attaining functionals

Maria D. Acosta, Julio Becerra Guerrero, Manuel Ruiz Galán (2002)

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We characterize some isomorphic properties of Banach spaces in terms of the set of norm attaining functionals. The main result states that a Banach space is reflexive as soon as it does not contain ℓ₁ and the dual unit ball is the w*-closure of the convex hull of elements contained in the "uniform" interior of the set of norm attaining functionals. By assuming a very weak isometric condition (lack of roughness) instead of not containing ℓ₁, we also obtain a similar result. As a consequence...

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Antiproximinal ѕets in Banach ѕpaces

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Displaying similar documents to “Characterizations of almost transitive superreflexive Banach spaces”

Transitivity of the norm on Banach spaces.

Dual spaces generated by the interior of the set of norm attaining functionals

A nearly uniformly convex space which is not a ( β ) -space

Antiproximinal ѕets in Banach ѕpaces

A nearly uniformly convex space which is not a $(β)$ -space