Subdifferentiability and polyhedrality of the norm
Taduri Srinivasa Siva Rama Krishna Rao
TL;DR
This paper establishes necessary and sufficient conditions for the subdifferentiability of norms in various classes of infinite-dimensional Banach spaces, enhancing understanding of their geometric properties.
Contribution
It provides a comprehensive characterization of subdifferentiability and polyhedrality of norms across different Banach space classes.
Findings
Characterization of subdifferentiability conditions
Conditions for polyhedrality of norms
Applicability to various Banach space classes
Abstract
In this paper we give necessary and sufficient conditions for the norm on an infinite dimensional Banach space to be sub differentiable, for various classes of Bananch spaces.
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Taxonomy
TopicsAdvanced Banach Space Theory · Fixed Point Theorems Analysis · Optimization and Variational Analysis