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广义矩阵范围和正定性

IF 0.9 4区 数学 Q2 MATHEMATICS
Linear & Multilinear Algebra Pub Date : 2024-04-08 DOI:10.1080/03081087.2024.2303721
Yiu-Tung Poon, Nyle Alexander Sutton
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引用次数: 0

摘要

数值范围是一个多世纪以来的研究课题。它扩展到矩阵范围的定义是完全正映射。矩阵代数之间的线性映射 ϕ 是完全正映射。
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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Generalized matricial ranges and positive definiteness
Numerical range is the subject of study for over a century. Its extension to matricial range is defined in terms of completely positive maps. A linear map ϕ between matrix algebras is completely po...
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来源期刊
Linear & Multilinear Algebra
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.
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