On a characterization of commutativity for C∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^*$$\end{document}-algebras via gyrogroup operations

被引：0
作者：
Toshikazu Abe
Osamu Hatori
机构：
[1] Niigata University,Department of Mathematical Science, Graduate School of Science and Technology
[2] Niigata University,Department of Mathematics, Faculty of Science
来源：
Periodica Mathematica Hungarica | 2016年 / 72卷 / 2期
关键词：
Gyrocommutative gyrogroup; Positive invertible element ; -algebra; Commutativity; 46L05; 20N05;
D O I：
10.1007/s10998-016-0126-3
中图分类号：
学科分类号：
摘要：
We show that a unital C∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^*$$\end{document}-algebra is commutative if and only if the gyrogroup of the set of positive invertible elements is in fact a group.
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页码：248 / 251
页数：3
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