Semi denting points and related notions in Banach spaces

TL;DR

This paper investigates the stability of various semi denting and related points in Banach spaces under operations like $l_p$-sums, ideals, and tensor products, enhancing understanding of geometric properties in functional analysis.

Contribution

It introduces new stability results for semi denting, semi PC, and semi SCS points and their $w^*$-analogues in Banach spaces under common space operations.

Findings

Stability of semi denting points under $l_p$-sums.

Stability of semi PC points in tensor products.

Results on semi SCS points in ideals.

Abstract

In this work, we 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.