On the uniform mazur intersection property

Authors

Pradipta Bandyopadhyay, Indian Statistical Institute, Kolkata
Deepak Gothwal, Indian Statistical Institute, Kolkata
Jadav Ganesh, Gandhi Institute of Technology and Management, Visakhapatnam

Document Type

Research Article

Publication Title

Studia Mathematica

Abstract

We show that a Banach space X has the Uniform Mazur Intersection Property (UMIP) if and only if every f ⋯ 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.

First Page

273

Last Page

283

DOI

10.4064/sm201129-4-1

Publication Date

1-1-2021

Recommended Citation

Bandyopadhyay, Pradipta; Gothwal, Deepak; and Ganesh, Jadav, "On the uniform mazur intersection property" (2021). ISI Best Publications. 1.
https://digitalcommons.isical.ac.in/ibp/1