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arXiv · 2104.14238

Absolute Lipschitz extendability and linear projection constants

Giuliano Basso
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Abstract

We prove that the absolute extendability constant of a finite metric space may be determined by computing relative projection constants of certain Lipschitz-free spaces. As an application, we show that $\mbox{ae}(3)=4/3$ and $\mbox{ae}(4)\geq (5+4\sqrt{2})/7$. Moreover, we discuss how to compute relative projection constants by solving linear programming problems.

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Giuliano Basso. 2021-04-29. Absolute Lipschitz extendability and linear projection constants. https://doi.org/10.4064/sm210708-21-9

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