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Semi denting points and related notions in Banach spaces

2026/02/13 by Sudeshna Basu, Priyanka Priyadarshini Behera, Deepak Gothwal +1
Mathematics · #math.FA

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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 lp-sums ( 1≤ p ≤ ∞), ideals, and projective tensor products.

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