On Homomorphisms between C*-Algebras and Linear Derivations on C*-Algebras

被引：0
作者：
Chun-Gil Park
Hahng-Yun Chu
Won-Gil Park
Hee-Jeong Wee
机构：
[1] Chungnam National University,Department of Mathematics
来源：
Czechoslovak Mathematical Journal | 2005年 / 55卷
关键词：
*-algebra homomorphism; *-algebra; real rank zero; ℂ-linear *-derivation; stability;
D O I：
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学科分类号：
摘要：
It is shown that every almost linear Pexider mappings f, g, h from a unital C*-algebra \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$A$$ \end{document} into a unital C*-algebra ℬ are homomorphisms when f(2nuy) = f(2nu)f(y), g(2nuy) = g(2nu)g(y) and h(2nuy) = h(2nu)h(y) hold for all unitaries u ∈ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$A$$ \end{document}, all y ∈ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$A$$ \end{document}, and all n ∈ ℤ, and that every almost linear continuous Pexider mappings f, g, h from a unital C*-algebra \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$A$$ \end{document} of real rank zero into a unital C*-algebra ℬ are homomorphisms when f(2nuy) = f(2nu)f(y), g(2nuy) = g(2nu)g(y) and h(2nuy) = h(2nu)h(y) hold for all u ∈ {v ∈ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$A$$ \end{document} : v = v* and v is invertible}, all y ∈ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$A$$ \end{document} and all n ∈ ℤ.
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页码：1055 / 1065
页数：10
相关论文
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