17 citations · 17 across the 7 of their papers we have counts for
8 papers
Weighted composition operators on weighted Fock spaces
Somdatta Barik, Anirban Sen, Kallol paul
We provide a complete characterization of the bounded, compact, and Hilbert-Schmidt class weighted composition operators acting on weighted Fock spaces, extending the classical Foc…
Weighted Composition-differentiation operators on weighted Dirichlet spaces
Anirban Sen, Somdatta Barik, Kallol Paul +1
We study weighted composition-differentiation operators of order on weighted Dirichlet spaces. Our main goal is to describe the operator-t…
Numerical range and Berezin range of weighted composition operators on weighted Dirichlet spaces
Somdatta Barik, Anirban Sen, Kallol paul
We investigate the numerical ranges of weighted composition operators on weighted Dirichlet spaces, focusing on the properties of the inducing functions. We identify conditions on…
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…
-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…
Berezin number and Berezin norm inequalities for operator matrices
Pintu Bhunia, Anirban Sen, Somdatta Barik +1
We establish new upper bounds for Berezin number and Berezin norm of operator matrices, which are refinements of the existing bounds. Among other bounds, we prove that if $A=[A_{ij…