On uniform Mazur intersection property

Pradipta Bandyopadhyay; Jadav Ganesh; Deepak Gothwal

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arXiv · 2012.12538

On uniform Mazur intersection property

Pradipta Bandyopadhyay·Jadav Ganesh·Deepak Gothwal

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Abstract

In this paper, we show that a Banach space $X$ has the Uniform Mazur Intersection Property (UMIP) if and only if every $f \in S(X^*)$ is uniformly w*-semidenting point of $B(X^*)$. We also prove analogous results for uniform w*-MIP.

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Pradipta Bandyopadhyay, Jadav Ganesh, Deepak Gothwal. 2020-12-23. On uniform Mazur intersection property. https://arxiv.org/abs/2012.12538

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