Representable Banach Spaces and Uniformly Gateaux-Smooth Norms
Year: 1996
Type: article
Abstract: It is proved that a representable non-separable Banach space does\nnot admit uniformly Gâteaux-smooth norms. This is true in particular for C(K)\nspaces where K is a separable non-metrizable Rosenthal compact space.
Author: Julien Frontisi
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W131578902