A. Patra

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20242026

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math.OA2026

On the geometry of the algebraic Davis--Wielandt shell and norm-parallelism in $C^{*}$ -algebra

Debarati Bhattacharya, Fuad Kittaneh, Arnab Patra +1

This article is devoted to the study of the Davis--Wielandt shell and the Davis--Wielandt radii of elements in a $C^{*}$ -algebra. Utilizing a state-space approach, several geometric…

math.OA2024

Upper bounds of numerical radius and $a$ -numerical radius in $C^{*}$ -algebra setting using Orlicz functions

Saikat Mahapatra, Riddhick Birbonshi, Arnab Patra

In this paper, several significant upper bounds for the numerical radius and $a$ -numerical radius of an element in a $C^{*}$ -algebra are obtained using Orlicz functions. Ma…

On the geometry of the algebraic Davis--Wielandt shell and norm-parallelism in C∗-algebra

Upper bounds of numerical radius and a-numerical radius in C∗-algebra setting using Orlicz functions

On the geometry of the algebraic Davis--Wielandt shell and norm-parallelism in $C^{*}$ -algebra

Upper bounds of numerical radius and $a$ -numerical radius in $C^{*}$ -algebra setting using Orlicz functions