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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…