ON THE GEOMETRY OF BANACH SPACES OF THE FORM Lip(0)(C(K))

Author(s)

Candido, Leandro ^[1] ; Kaufmann, Pedro L. ^[1]

Affiliation

^[1] Univ Fed Sao Paulo UNIFESP, Dept Matemat, Inst Ciencia & Tecnol, Sao Jose Dos Campos, SP - Brazil

• Document type: Journal article
• Source: Proceedings of the American Mathematical Society; v. 149, n. 8, p. 3335-3345, AUG 2021.
• Web of Science Citations: 0

Abstract

We investigate the problem of classifying the Banach spaces Lip(0)(C(K)) for Hausdorff compacta K. In particular, sufficient conditions are established for a space Lip(0)(C(K)) to be isomorphic to Lip(0)(c(0)(Gamma)) for some uncountable set Gamma. (AU)

• FAPESP's process: 17/18623-5 - Project on geometry of Lipschitz-free spaces and their approximation properties
• Grantee: Pedro Levit Kaufmann
• Support Opportunities: Regular Research Grants
• FAPESP's process: 16/25574-8 - Geometry of Banach Spaces
• Grantee: Valentin Raphael Henri Ferenczi
• Support Opportunities: Research Projects - Thematic Grants