10 papers
-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…
On the geometry of the algebraic Davis--Wielandt shell and norm-parallelism in -algebra
Debarati Bhattacharya, Fuad Kittaneh, Arnab Patra +1
This article is devoted to the study of the Davis--Wielandt shell and the Davis--Wielandt radii of elements in a -algebra. Utilizing a state-space approach, several geometric…
Convolution Operators on Weighted Hahn Spaces
Sayan Saha, Arnab Patra
This paper studies the convolution operator on weighted Hahn sequence spaces. The boundedness and compactness of these operators, together with the multiplier algebras of the weigh…
-Berezin Range of Operators in Hardy Space
Debarati Bhattacharya, Arnab Patra
This paper investigates the concept of the -Berezin range and -Berezin number of bounded linear operators acting on Hardy space. We obtain the -Berezin range of some class…
On the --Numerical Range of Operators in Semi-Hilbertian Spaces
Jyoti Rani, Arnab Patra, Riddhick Birbonshi
This study investigates the --numerical range of an operator within the framework of semi-Hilbertian spaces. Several fundamental properties of the --numerical range are…
Spectral Properties of the Compact Rhaly and Compact Generalised Ces{Ã }ro Operators on Weighted Spaces
Jyoti Rani, Arnab Patra
In this article, we conduct a comprehensive study on the continuity, compactness, and spectral properties of Rhaly operators and generalized Cesà ro operators, acting on weighted n…