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On Ball Dentable Property in Banach Spaces

  • Sudeshna BasuEmail author
Conference paper
  • 44 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 302)

Abstract

In this work, we introduce the notion of Ball dentable property in Banach spaces. We study certain stability results for the \(w^*\)-Ball dentable property leading to a discussion on Ball rentability in the context of ideals of Banach spaces. We prove that the \(w^*\)-Ball-dentable property can be lifted from an M-ideal to the whole Banach Space. We also prove similar results for strict ideals of a Banach space. We note that the space \(C(K,X)^*\) has \(w^*\)-Ball dentable property when K is dispersed and \(X^*\) has the \(w^*\)-Ball dentable property.

Keywords

Slices M-Ideals Strict ideals 

Classification

46B20 46B28 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of MathematicsGeorge Washington UniversityWashington DCUSA

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