关于三对角非对称矩阵的谱

IF 1.2 3区数学 Q1 MATHEMATICS Journal of Mathematical Analysis and Applications Pub Date : 2025-08-15 Epub Date: 2025-02-26 DOI:10.1016/j.jmaa.2025.129421

Saad R. El-Shabrawy, Asmaa M. Shindy

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引用次数: 0

摘要

研究了无穷三对角矩阵的谱作为算子在Hahn序列空间h和有界变差零序列空间bv0上的作用。研究内容包括：所考虑的矩阵的谱、点谱、残差谱和连续谱。结果表明，本文所采用的方法也适用于三角双带矩阵和雅可比矩阵光谱的确定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the spectra of tridiagonal non-symmetric matrices

A study is made of the spectra of infinite tridiagonal matrices as operators on the Hahn sequence space h and the space

{bv}_{0}

of null sequences of bounded variation. The study includes: the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the considered matrices. It is shown that the method used in this paper is suitable also for determining the spectra of triangular double-band matrices and the Jacobi matrices.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.