Approximate Isomorphisms in C*-Algebras

被引：0
作者：
Choonkil Park
机构：
[1] Hanyang University,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2008年 / 102卷
关键词：
-algebra; Lie ; -algebra; -algebra; Cauchy–Jensen functional equation; Approximate isomorphism; Hyers–Ulam–Rassias stability; Unitary group; 39B72; 46L05; 47B48;
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摘要：
This paper is a survey on the Hyers–Ulam–Rassias stability of the following Cauchy–Jensen functional equation in C*-algebras: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2f\biggl(\frac{x+y}{2}+z\biggr)=f(x)+f(y)+2f(z).$$\end{document} The concept of Hyers–Ulam–Rassias stability originated from the Th.M. Rassias’ stability theorem (Rassias in Proc. Am. Math. Soc. 72:297–300, [1978]).
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页码：71 / 85
页数：14
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