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math.FA2023★ 1 cited
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…
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…