Quaternionic essential numerical range of complex operators

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-10-07 DOI:10.1080/03081087.2024.2413653

Luís Carvalho, Cristina Diogo, Sérgio Mendes, Helena Soares

引用次数: 0

Abstract

We study the essential numerical range of complex operators on a quaternionic Hilbert space and its relation with the essential S-spectrum. We give a new characterization of the essential numerical...

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复算子的四元基本数值范围

我们研究了四元希尔伯特空间上复数算子的基本数值范围及其与基本 S 谱的关系。我们给出了本质数值范围的新特征。

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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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.