On uniform Mazur intersection property

Pradipta Bandyopadhyay, Jadav Ganesh, Deepak Gothwal

In this paper, we show that a Banach space $X$ has the Uniform Mazur Intersection Property (UMIP) if and only if every $f\in S(X^{\ast })$ is uniformly w*-semidenting point of $B(X^{\ast })$.…