Fredholm theory on Krein spaces and its application to pseudospectrum

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-07-06 DOI:10.1080/03081087.2024.2364703

Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi

引用次数: 0

Abstract

In this note, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss and ...

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克雷因空间上的弗雷德霍尔姆理论及其在伪谱中的应用

在本论文中，我们引入了克雷因空间上有界线性算子的 J 核的概念，并研究了克雷因空间算子的 J-Fredholm 理论。利用 J-Fredholm 理论，我们讨论并...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.