Absolute Lipschitz extendability and linear projection constants
Volume 264 / 2022
Studia Mathematica 264 (2022), 335-359
MSC: Primary 54C20; Secondary 46B20, 46E99.
DOI: 10.4064/sm210708-21-9
Published online: 31 January 2022
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 æ$(3)=4/3$ and æ$(4)\geq (5+4\sqrt {2})/7$. Moreover, we discuss how to compute relative projection constants by solving linear programming problems.
