Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

100%

Acosta M., Guerrero J., Galán M.

Studia Mathematica

2002

tom 149

nr 2

175-183

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 of the first result, a convex-transitive Banach space not containing ℓ₁ and such that the set of norm attaining functionals has nonempty interior is in fact superreflexive.

Ograniczanie wyników

1 Studia Mathematica

1 Acosta M.

1 Galán M.

1 Guerrero J.

1 2002

Wyniki wyszukiwania

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