Transitivity of the norm on Banach spaces.
Julio Becerra Guerrero, A. Rodríguez-Palacios (2002)
Extracta Mathematicae
Similarity:
Julio Becerra Guerrero, A. Rodríguez-Palacios (2002)
Extracta Mathematicae
Similarity:
Maria D. Acosta, Julio Becerra Guerrero, Manuel Ruiz Galán (2002)
Studia Mathematica
Similarity:
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...
Denka Kutzarova (1989)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
S. Cobzaş (1999)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity: