C* 对象中的平行和

IF 0.9 4区数学 Q2 MATHEMATICS Linear & Multilinear Algebra Pub Date : 2024-05-13 DOI:10.1080/03081087.2024.2349199

Ali Zamani, Hasan Karimi, Qingxiang Xu

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引用次数: 0

摘要

设 A 是有单位 e 的单价 C∗ 代数，设 a:b 是 A 的两个正定元 a 和 b 的平行和，定义为 a(a+b)-1b。我们将证明平行和 a:b 可以用 ...

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The parallel sum in C*-algebras

Let A be a unital C∗-algebra with unit e and let a:b be the parallel sum of the two positive definite elements a and b of A defined by a(a+b)−1b. We show that the parallel sum a:b can be stated by ...

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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.