算子代数中的运算$ABA$

IF 0.2 Q4 MATHEMATICS

Commentationes Mathematicae Universitatis Carolinae Pub Date : 2021-03-09 DOI:10.14712/1213-7243.2020.041

Gaál Marcell

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引用次数: 0

摘要

二元运算aba，称为Jordan三乘积，及其变体（如序列乘积√ab√a或倒Jordan三乘积ab−1 a）出现在算子理论和矩阵分析的几个分支中。在本文中，我们简要地考察了这些运算的一些分析和代数性质，并研究了它们与不同算子代数中的Thompson型等距的密切联系。

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The operation $ABA$ in operator algebras

. The binary operation aba , called Jordan triple product, and its variants (such as e.g. the sequential product √ ab √ a or the inverted Jordan triple product ab − 1 a ) appear in several branches of operator theory and matrix analysis. In this paper we brieﬂy survey some analytic and algebraic properties of these operations, and investigate their intimate connection to Thompson type isometries in diﬀerent operator algebras.

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来源期刊

Commentationes Mathematicae Universitatis Carolinae MATHEMATICS-

CiteScore

0.60

自引率

0.00%

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