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Spectral Properties of Convolution Operators on Non-Separable Sequence Spaces
Sayan Saha, Arnab Patra
This paper provides a complete characterization of the spectrum, point spectrum, continuous spectrum, and residual spectrum of bounded convolution operators acting on the non-separ…
On the Orlicz function estimations of the -Davis--Wielandt radius in -algebra
Debarati Bhattacharya, Fuad Kittaneh, Arnab Patra
We present a systematic study of -Davis--Wielandt radius estimates for elements in a unital -algebra through an Orlicz function approach. We derive novel bounds for the alg…
-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…