On the Uniform Mazur Intersection Property
Volume 260 / 2021
Studia Mathematica 260 (2021), 273-283
MSC: Primary 46B20.
DOI: 10.4064/sm201129-4-1
Published online: 15 March 2021
Abstract
We show that a Banach space $X$ has the Uniform Mazur Intersection Property (UMIP) if and only if every $f \in S(X^*)$ is a uniformly w$^*$-semidenting point of $B(X^*)$. We also prove an analogous result for the uniform version of the w$^*$-MIP.
