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Resumen de Asymptotically Convex Banach Spaces and The Index of Rotundity Problem

Francisco Javier García Pacheco Árbol académico

  • 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.

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