Spectrum and Fine Spectrum of Band Matrices Generated by Oscillatory Sequences

2023/01/23 by Jyoti Rani, Rani, Jyoti, Arnab Patra +2
Mathematics · #47B37 (Secondary) #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 47A10 (Primary) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2301.09302

openalex publication_date 2023/01/23 · openalex created_date 2023/01/25 · openalex updated_date 2026/07/28

Abstract

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 to study the spectrum over the ℓ_p, (1

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