Points of strong subdifferentiability in dual spaces

Article Type

Research Article

Publication Title

Houston Journal of Mathematics

Abstract

In this paper, motivated by a classical results of Franchetti and Payà [5] on points of strong subdifferentiability, we exhibit several naturally occurring situations when the property of being strongly subdifferentiable can be lifted from a subspace to the entire space. Our methods rely on the deep analysis of strongly proximinal subspaces of finite codimension obtained by Godefroy and Indumathi and techniques from the theory of M-ideals.

First Page

1221

Last Page

1226

Publication Date

1-1-2018

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