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math.SP2023
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…
math.SP2023
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…
math.SP2016
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…