From the 1 of 6 linked papers with an AI index.
6 papers
-Berezin sectorial operators with applications to -Berezin number inequalities and -Berezin ranges
Saikat Mahapatra, Subhadip Halder, Riddhick Birbonshi +2
In this paper, we introduce a new class of operators, called -Berezin sectorial operators, as an extension of the class of -sectorial operators. By presenting examples on the…
Improved upper bounds for the Berezin numbers of operators on reproducing kernel Hilbert spaces
Riddhick Birbonshi, Sumon Ghosh, Fuad Kittaneh +2
The paper derives new upper bounds for the Berezin numbers of bounded linear operators on reproducing kernel Hilbert spaces using interpolation paths of symmetric means and Orlicz…
Improved Bounds for numerical radius and -numerical radius in -algebras
Saikat Mahapatra, Arobinda Ghosh, Riddhick Birbonshi
In this article, we derive several significant upper bounds for the numerical radius and -numerical radius of an element in a -algebra by improving inequalities for posit…
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…
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…
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…