1 citations · 1 across the 17 of their papers we have counts for
20 papers
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…
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…
Upper bounds of numerical radius and -numerical radius in -algebra setting using Orlicz functions
Saikat Mahapatra, Riddhick Birbonshi, Arnab Patra
In this paper, several significant upper bounds for the numerical radius and -numerical radius of an element in a -algebra are obtained using Orlicz functions. Ma…
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…
New upper bounds for the -numerical radius of Hilbert space operators
Arnab Patra, Falguni Roy
This article introduces several new upper bounds for the -numerical radius of bounded linear operators on complex Hilbert spaces. Our results refine some of the existing upper b…
Spectral properties of the Rhaly operator on weighted null sequence spaces and associated operator ideals
Arnab Patra, Jyoti Rani, Sanjay Kumar Mahto
In this article, a comprehensive study is made on the continuity, compactness, and spectrum of the lower triangular terraced matrix, introduced by H. C. Rhaly, Jr. [Houston J. Math…
Spectrum and Fine Spectrum of Band Matrices Generated by Oscillatory Sequences
Jyoti Rani, Arnab Patra, P D Srivastava
In this paper, a new class of band matrices is considered where the entries of each non-zero band form a sequence with two limit points. The compact perturbation technique is used…
Spectrum and fine spectrum of generalised lower triangular triple band matrices over the sequence space
Arnab Patra, P. D. Srivastava
The spectrum of triangular band matrices defined on the sequence spaces where the entries of each band is a constant or convergent sequence is well studied. In this article, the sp…
On some study of the fine spectra of generalized difference operator on
Riddhick Birbonshi, Arnab Patra, P. D. Srivastava
In this paper, we determine the spectrum, the point spectrum, the continuous spectrum and the residual spectrum of the generalized difference operator on the sequence spa…
Spectra of the lower triangular matrix over
Sanjay Kumar Mahto, Arnab Patra, P. D. Srivastava
The spectra and fine spectra of the lower triangular matrix over the sequence space are determined. The diagonal and s…
Relative Perturbation Bounds for the Joint Spectrum of Commuting Tuple of Matrices
Arnab Patra, P. D. Srivstava
In this paper, we study the relative perturbation bounds for joint eigenvalues of commuting tuples of normal matrices. Some Hoffman-Wielandt type relative perturbation…
On the boundary of the numerical range of some Jacobi operators
R. Birbonshi, A. Patra, P. D. Srivastava
In this paper, we study the numerical range of Jacobi operators and it is shown that under certain conditions, the boundary of the numerical range of these operators can be non-rou…