6 papers · 1 filter
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…