Extended eigenvalues of 2 x 2 block operator matrices

被引：0

作者：

Ammar, Aymen ^{[1
]}

Boutaf, Fatima Zohra ^{[1
]}

Jeribi, Aref ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia

来源：

FILOMAT | 2023年 / 37卷 / 05期

关键词：

Extended eigenvalue; Spectrum; Point spectrum; 2 x 2 Block matrix; EIGENVECTORS;

D O I：

10.2298/FIL2305377A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the notion of extended eigenvalues of a 2 x 2 lower triangular operator matrix has been researched. More precisely, the relations between the extended spectrum of a 2 x 2 lower triangular operator matrix with the spectrum, the point spectrum, and the extended spectrum of its diagonal entries have been investigated. The obtained results have been supplemented by examples. In addition, some properties of the extended spectrum of 2 x 2 block operator matrices have been displayed.

引用

页码：1377 / 1389

页数：13

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