复算子的四元基本数值范围

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
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引用次数: 0

摘要

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。
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Quaternionic essential numerical range of complex operators
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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来源期刊
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.
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