*-Jordan Semi-Triple Derivable Mappings

被引：0
作者：
Lin Chen
Jianhua Zhang
机构：
[1] Shaanxi Normal University,College of Mathematics and Information Science
[2] Anshun University,Department of Mathematics and Physics
来源：
Indian Journal of Pure and Applied Mathematics | 2020年 / 51卷
关键词：
Jordan semi-triple derivable mapping; derivation; matrix algebra; 47B49; 46K15;
D O I：
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学科分类号：
摘要：
In this paper, we characterize the *-Jordan semi-triple derivable mappings (i.e. a mapping Φ from * algebra A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{A}$$\end{document} into A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{A}$$\end{document} satisfying Φ(AB*A) = Φ(A)B*A + AΦ(B)*A + AB* Φ(A) for every A, B A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{A}$$\end{document}) in the finite dimensional case and infinite dimensional case.
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页码：825 / 837
页数：12
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