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arXiv · 2202.08085

Retractions and the bounded approximation property in Banach spaces

Petr Hájek·Rubén Medina
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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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Petr Hájek, Rubén Medina. 2022-02-16. Retractions and the bounded approximation property in Banach spaces. https://arxiv.org/abs/2202.08085

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