From the 1 of 12 linked papers with an AI index.
12 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…
On the numerical radius of a class of weighted shift operators
Arobinda Ghosh, Riddhick Birbonshi, Sarita Ojha
In this paper, we derive some bounds on numerical radius of the weighted shift operator with weights where and . Furt…
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…
On posinormality of weighted composition-differentiation operators on
Gour Hait, Sarita Ojha, Nirupam Ghosh +1
In this article, the posinormality and coposinormality of weighted composition-differentiation operators on Hardy space are investigated. It is observed that whil…
Iterated Aluthge transforms of some composition operators on weighted Bergman spaces
Sudeshna Lahiri, Sarita Ojha, Riddhick Birbonshi
In this paper, we compute the iterated Aluthge transforms of the composition operator on the weighted Bergman spaces ,…