3 papers
math.FA2026
An introduction of Berezin sectorial operators and its application to Berezin number inequalities
Saikat Mahapatra, Sweta Mukherjee, Anirban Sen +2
We introduce a new class of operators, called Berezin sectorial operators, which generalizes classical sectorial operators. We provide examples on the Hardy-Hilbert space showing t…
math.FA2025
Berezin number and Berezin norm inequalities via Moore-Penrose inverse
Saikat Mahapatra, Anirban Sen, Riddhick Birbonshi +1
In this article, we establish the Berezin number and Berezin norm inequalities for bounded linear operators on a reproducing kernel Hilbert space using the Moore-Penrose inverse. T…
math.OA2024
Upper bounds of numerical radius and -numerical radius in -algebra setting using Orlicz functions
Saikat Mahapatra, Riddhick Birbonshi, Arnab Patra
In this paper, several significant upper bounds for the numerical radius and -numerical radius of an element in a -algebra are obtained using Orlicz functions. Ma…