Structure of the Set of Norm-attaining Functionals on Strictly Convex Spaces

Abstract

Let X be a separable non-reflexive Banach space. We show that there is no Borel class which contains the set of norm-attaining functionals for every strictly convex renorming of X.

Keywords

• Structure
• Set
• Norm-attaining
• Functionals
• Strictly
• Convex
• Spaces