Nonrough norms in Lipschitz free spaces
Sudeshna Basu, Susmita Seal
TL;DR
This paper characterizes nonrough norms in Lipschitz free spaces by introducing a new geometric property of the underlying metric space, enhancing understanding of the space's structure.
Contribution
It provides a novel geometric characterization of nonrough norms in Lipschitz free spaces, linking space geometry to norm smoothness properties.
Findings
Characterization of nonrough norms in Lipschitz free spaces.
Introduction of a new geometric property of metric spaces.
Deeper understanding of the structure of Lipschitz free spaces.
Abstract
In this paper we characterise nonrough norms of Lipschitz free spaces F(M) in terms of a new geometric property of the underlying metric space M.
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Taxonomy
TopicsAdvanced Banach Space Theory · Optimization and Variational Analysis · Fixed Point Theorems Analysis