Retractions and the bounded approximation property in Banach spaces

2022/02/16 by Petr Hájek, Hájek, Petr, Rubén Medina +1
Mathematics · #Advanced Banach Space Theory #Fixed Point Theorems Analysis #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2202.08085

Abstract

In the present paper we prove that a necessary condition for a Banach space X to admit a generating compact Lipschitz retract K, which satisfies an additional mild assumption on its shape, is that X enjoys the Bounded Approximation Property. This is a partial solution to a question raised by Godefroy and Ozawa.

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