Advanced search
Start date
Betweenand


On the weak∗ separability of the space of Lipschitz functions

Full text
Author(s):
Candido, Leandro ; Cuth, Marek ; Vejnar, Benjamin
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF FUNCTIONAL ANALYSIS; v. 289, n. 1, p. 26-pg., 2025-03-07.
Abstract

We conjecture that whenever M is a metric space of density at most continuum, then the space of Lipschitz functions is w & lowast;- separable. We prove the conjecture for several classes of metric spaces including all the Banach spaces with a projectional skeleton, Banach spaces with a w & lowast;-separable dual unit ball and locally separable complete metric spaces. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU)

FAPESP's process: 23/12916-1 - Geometry of Banach spaces
Grantee:Valentin Raphael Henri Ferenczi
Support Opportunities: Research Projects - Thematic Grants