5 papers · 1 filter
Smoothness in the space of bounded linear operators on semi-Hilbert space
Somdatta Barik, Souvik Ghosh, Kallol Paul +1
Given a nonzero positive operator on a Hilbert space , a semi-inner product is naturally induced on . In this work, we introduce the notion of \emph{…
On -orthogonality preservation and Blanco-Koldobsky-Turnšek theorem in semi-Hilbert spaces
Jayanta Manna, Somdatta Barik, Kallol Paul +1
We investigate the local preservation of -orthogonality at a point by -bounded operators within the semi-Hilbertian framework induced by a positive operator on a Hilbert…
On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces
Anirban Sen, Somdatta Barik, Kallol Paul
In this article, we completely characterize the Berezin range of Toeplitz operators with harmonic symbols acting on weighted Bergman spaces, illustrating the necessity of the harmo…
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…
Numerical range of Toeplitz and Composition operators on weighted Bergman spaces
Anirban Sen, Subhadip Halder, Riddhick Birbonshi +1
In this paper we completely describe the numerical range of Toeplitz operators on weighted Bergman spaces with harmonic symbol. We also characterize the numerical range of weighted…