12 papers
On the shape of the numerical range of some tridiagonal matrices
Arobinda Ghosh, Riddhick Birbonshi, Sarita Ojha +1
In this paper, we study the elliptical shape of the numerical range of tridiagonal matrices of orders and with zero entries on the main diagonal, a positive constant valu…
-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…
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…
An introduction of Berezin sectorial operators and its application to Berezin number inequalities
Saikat Mahapatra, Sweta Mukherjee, Anirban Sen +2
We introduce a new class of operators, called Berezin sectorial operators, which generalizes classical sectorial operators. We provide examples on the Hardy-Hilbert space showing t…
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…
A note on the -numerical range of semi-Hilbertian operators
Anirban Sen, Riddhick Birbonshi, Kallol Paul
In this paper we explore the relation between the -numerical range and the -spectrum of -bounded operators in the setting of semi-Hilbertian structure. We introduce a new…