4 papers · 1 filter
-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
In this article, several upper bounds for the Berezin numbers of bounded linear operators on reproducing kernel Hilbert spaces are obtained through the use of interpolation paths o…
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…