Semi denting points and related notions in Banach spaces

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Sudeshna Basu, Pramod Kumar Behera, Deepak Gothwal, Susmita Seal
DOI: 10.48550/arxiv.2602.12699
Cited by: 0

Abstract

In this work, we study semi denting points and related notions in Banach spaces. We observe that $X$ has the Radon-Nikodým Property if and only if every closed bounded convex set has a semi denting point. We also study the stability properties of semi denting, semi PC, and semi SCS points, as well as their $w^*$-analogues in Banach spaces, with respect to $l_p$-sums ( $1\leq p \leq \infty$), ideals, and projective tensor products.

Fields of Study & Subjects

Advanced Banach Space Theory Advanced Operator Algebra Research Optimization and Variational Analysis

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 February 2026
Language
EN
Document type
Preprint