S. Dwivedi

collaborators

4 papers

math.FA2026

Weak $^{*}$ -weak points of continuity on the state spaces

Saurabh Dwivedi

Let $X$ be a Banach space. For $x \in X$ with $∥ x ∥ = 1$ , we denote the state space by $S_{x} = {x^{*} \in X^{*} : ∥ x^{*} ∥ = x^{*} (x) = 1} .$ In this paper, we study weak $^{*}$ -weak and we…

math.FA2026

A study on coreflexive Banach Spaces

S. Dwivedi

In this paper, we study non-reflexive Banach spaces $X$ for which the quotient space $X^{**} / X$ is reflexive. Such spaces were first introduced by James R.~Clark, where they were c…

math.FA2026

An extension of Phelps theorem to spaces of vector-valued functions

Saurabh Dwivedi

In this paper, our main aim is to extend a classical theorem of Phelps on norm-attaining functionals from the space of scalar-valued continuous functions $C (I^c ◯)$ to its vector-valu…

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…

Weak∗-weak points of continuity on the state spaces

A study on coreflexive Banach Spaces

An extension of Phelps theorem to spaces of vector-valued functions

A study on state spaces in classical Banach spaces

Weak $^{*}$ -weak points of continuity on the state spaces