Sainik Karak

collaborators

3 papers

math.FA2026

On Hahn-Banach smoothness of $L_{1}$ -preduals and related $w^{*} - w$ point of continuity of unit balls of dual spaces

Sainik Karak

This article aims to examine the Hahn-Banach smoothness of Banach spaces and its connections to various geometrical aspects. We examine the circumstances that allow linear function…

math.FA2026

Extension of $p$ -compact operators in Banach spaces

Sainik Karak, Tanmoy Paul

We analyze various consequences in relation to the extension of operators $T : X \to Y$ that are $p$ -compact, as well as the extension of operators $T : X \to Y$ whose adjoints $T^*:Y^*\…

math.FA2025

Uniqueness of Hahn-Banach extensions in locally convex spaces

Sainik Karak, Akshay Kumar, Tanmoy Paul

We intend to study the uniqueness of the Hahn-Banach extensions of linear functionals on a subspace in locally convex spaces. Various characterizations are derived when a subspace…

On Hahn-Banach smoothness of L1​-preduals and related w∗−w point of continuity of unit balls of dual spaces

Extension of p-compact operators in Banach spaces

Uniqueness of Hahn-Banach extensions in locally convex spaces

On Hahn-Banach smoothness of $L_{1}$ -preduals and related $w^{*} - w$ point of continuity of unit balls of dual spaces

Extension of $p$ -compact operators in Banach spaces