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5 papers

math.FA2026

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…

math.FA2026

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…

math.FA2026

Estimation of -Berezin number and -Berezin norm inequalities via Moore-Penrose inverse

Sumon Ghosh, Swastika Saha Mondal, Sarita Ojha

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 in…

math.FA2026

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…

math.FA2026

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 ,…