Caracterisation d'une norme Frechet differentiable pour les duaux Banach complexes

TL;DR

This paper characterizes the Frechet differentiability property of the dual space of a complex Banach space, providing insights into the geometric structure of these duals.

Contribution

It offers a new characterization of Frechet differentiability in the duals of complex Banach spaces, advancing understanding of their geometric properties.

Findings

Identifies conditions for Frechet differentiability in dual Banach spaces

Provides a characterization linking dual space properties to differentiability

Enhances understanding of dual space geometry in complex Banach spaces

Abstract

Let $X$ be a complex Banach space; in this work we characterize the property of Frechet diffrentiability for the dual space $X^*$.