Spectrum and Fine Spectrum of Band Matrices Generated by Oscillatory Sequences
Spectral Theory
2025-01-22 v2 Functional Analysis
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 sequence space. Several spectral subdivisions such as fine spectrum, discrete spectrum, essential spectrum, etc. are obtained. In addition, a few sufficient conditions on the absence of point spectrum over the essential spectrum are also discussed.
Keywords
Cite
@article{arxiv.2301.09302,
title = {Spectrum and Fine Spectrum of Band Matrices Generated by Oscillatory Sequences},
author = {Jyoti Rani and Arnab Patra and P D Srivastava},
journal= {arXiv preprint arXiv:2301.09302},
year = {2025}
}