Jeribi基本谱的新特征

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-10-04 DOI:10.28924/2291-8639-21-2023-109

Belabbaci Chafika

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引用次数: 0

摘要

利用几乎弱紧算子的概念，给出了Banach空间上有界线性算子的Jeribi本质谱的几个刻画。因此，我们证明了在紧摄动下Jeribi本质谱的稳定性。此外，还给出了3×3上三角块算子矩阵的Jeribi本质谱的一些表征。

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New Characterizations of the Jeribi Essential Spectrum

In this paper, we give several characterizations of the Jeribi essential spectrum of a bounded linear operator defined on a Banach space by using the notion of almost weakly compact operators. As a consequence, we prove the stability of the Jeribi essential spectrum under compact perturbations. Furthermore, some characterizations of the Jeribi essential spectra of 3×3 upper triangular block operator matrix are also given.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks