Athul Augustine

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20222026

most citedOn the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

1 citations · 1 across the 4 of their papers we have counts for

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math.FA2025★ 1 cited

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

Athul Augustine, P. Hiran Das, Pintu Bhunia +1

This paper introduces a new family of semi-norms, say $σ_{μ}$ -Berezin norm on the space of all bounded linear operators $B (H)$ defined on a reproducing kernel Hilbert space…

math.FA2025

A Family of Semi-norms in $C^{*}$ -algebras

Athul Augustine, Pintu Bhunia, P. Shankar

We introduce a new family of non-negative real-valued functions on a $C^{*}$ -algebra $A$ , i.e., for $0 \leq μ \leq 1,$ $$\|a\|_{σ_μ}= \text{sup}\left\lbrace \sqrt{|f(a)|^2 σ_…

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

A Family of Semi-norms in C∗-algebras

A Family of Semi-norms in $C^{*}$ -algebras