On the constant of Lipschitz approximability

Rubén Medina

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arXiv · 2304.12042

On the constant of Lipschitz approximability

Rubén Medina

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Abstract

In this note we find $\lambda>1$ and give an explicit construction of a separable Banach space $X$ such that there is no $\lambda$-Lipschitz retraction from $X$ onto any compact convex subset of $X$ whose closed linear span is $X$. This is closely related to a well-known open problem raised by Godefroy and Ozawa in 2014 and represent the first known example with such a property.

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Rubén Medina. 2023-04-24. On the constant of Lipschitz approximability. https://arxiv.org/abs/2304.12042

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