On uniform Mazur intersection property

2020/12/23 by Bandyopadhyay, Pradipta, Ganesh, Jadav, Gothwal, Deepak
#46B20 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2012.12538

Abstract

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

Related

• More on the (Uniform) Mazur Intersection Property
• The Generalised (Uniform) Mazur Intersection Property
• The Mazur Intersection Property and Farthest Points
• Uniform embeddings, homeomorphisms and quotient maps between Banach spaces (A short survey)
• A property in vector-valued function spaces