Soumitra Daptari

collaborators

3 papers

math.FA2025

A study on state spaces in classical Banach spaces

Soumitra Daptari, Saurabh Dwivedi

Let $X$ be a real or complex Banach space. Let $S (X)$ denote the unit sphere of $X$ . For $x \in S (X)$ , let $S_{x} = {x^{*} \in S (X^{*}) : x^{*} (x) = 1}$ . A lot of Banach space geometry can be…

math.FA2025

A study of weak $^{*}$ -weak points of continuity in the unit ball of dual spaces

S. Daptari, V. Montesinos, T. S. S. R. K. Rao

We study classes of Banach spaces where the points of weak $^{*}$ -weak continuity for the identity mapping on the dual unit ball form a weak $^{*}$ -dense and weak $^{*}$ - $G_{δ}$ set. We also…

math.FA2024

On Hahn-Banach smoothness and related properties in Banach spaces

Soumitra Daptari

In this paper, we study several variants of Hahn-Banach smoothness, viz., property- $(S U)$ / $(H B)$ / $(w U)$ , where property- $(S U)$ and property- $(H B)$ are stronger notions and property…

A study on state spaces in classical Banach spaces

A study of weak∗-weak points of continuity in the unit ball of dual spaces

On Hahn-Banach smoothness and related properties in Banach spaces

A study of weak $^{*}$ -weak points of continuity in the unit ball of dual spaces