Asymptotically Convex Banach Spaces and The Index of Rotundity Problem
- 1 University of Cadiz.
ISSN: 0716-0917, 0717-6279
Any de publicació: 2012
Volum: 31
Número: 2
Pàgines: 91-101
Tipus: Article
Altres publicacions en: Proyecciones: Journal of Mathematics
Resum
The Index of Rotundity Problem asks whether a Banach space which admits equivalent renormings with index of rotundity as small as desired also admits an equivalent rotund renorming. In this paper we continue the ongoing search for a negative answer to this question by making use of a new concept: asymptotically convex Banach spaces. Some applications to The Approximation Hyperplane Series Property are given.
Referències bibliogràfiques
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