5 citations · 5 across the 9 of their papers we have counts for
10 papers
-Numerical Radius Estimates in Semi-Hilbertian Spaces and Their Relations with Matrix Means for Sectorial Matrices
Jyoti Rani
In this paper, the -numerical radius of operators in semi-Hilbertian spaces is studied. New characterizations are established, and sharp upper and lower bounds for the -numer…
-Numerical Ranges and Spectral Sets
Ryan O'Loughlin, Jyoti Rani
We study spectral constants for convex domains containing the spectrum of a matrix. We extend the Crouzeix--Palencia framework by obtaining bounds depending on a parameter …
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…
Generative adversarial wavelet neural operator: Application to fault detection and isolation of multivariate time series data
Jyoti Rani, Tapas Tripura, Hariprasad Kodamana +1
Fault detection and isolation in complex systems are critical to ensure reliable and efficient operation. However, traditional fault detection methods often struggle with issues su…
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…