10 papers · 1 filter
-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…
Spectral Properties of the Compact Rhaly and Compact Generalised Ces{à}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 Cesàro operators, acting on weighted nu…
On the estimation of the -numerical radius via Orlicz functions
Fuad Kittaneh, Arnab Patra, Jyoti Rani
This study utilizes Orlicz functions to provide refined lower and upper bounds on the q-numerical radius of an operator acting on a Hilbert space. Additionally, the concept of q-se…
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…
-Numerical radius of sectorial matrices and operator matrices
Jyoti Rani, Arnab Patra
This article focuses on several significant bounds of -numerical radius for sectorial matrix which refine and generalize previously established bounds. One of the s…
Joint -Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces
Kais Feki, Arnab Patra, Jyoti Rani +1
This paper introduces and investigates the concept of the -numerical range for tuples of bounded linear operators in Hilbert spaces. We establish various inequalities concerning…