2 papers
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
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…