Year: 2025
Type: article
Abstract: In this paper, we study three kinds of dentabilities and present their important applications in the geometric theory of Banach spaces. First, the relations between weak-denting points and extreme points are established. Moreover, we characterize strong convex spaces and weakly locally uniformly smooth spaces by using weakly locally uniform dentability. Finally, we provide some important applications of strong∗ dentability in Fréchet-smooth Banach spaces while investigating the density of strong∗ points in dual Banach spaces.
Source: Axioms
Authors: Xiaoxia Wang, Yunan Cui, Yaoming Niu
Institutions: Ordos Institute of Technology, Harbin Cambridge University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
Funder: University of Cambridge
OpenAlex ID: W4409501710