3 papers
math.FA2025
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{…
math.FA2025
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…
math.FA2024
-Davis-Wielandt Radius Bounds of Semi-Hilbertian Space Operators
Messaoud Guesba, Somdatta Barik, Pintu Bhunia +1
Consider is a complex Hilbert space and is a positive operator on The mapping $\langle\cdot,\cdot\rangle_A: \mathcal{H}\times \mathcal{H} \to \math…