ISOMORPHISMS AND DERIVATIONS IN C*-ALGEBRAS

被引：0

作者：

Lee JungRye ^{[1
]}

Shin DongYun ^{[2
]}

机构：

[1] Department of Mathematics, Daejin University

[2] Department of Mathematics, University of Seoul

来源：

Acta Mathematica Scientia | 2011年 / 31卷 / 01期

关键词：

Jordan-von Neumann type Cauchy-Jensen functional equation; C*-algebra isomorphism; Lie C*-algebra isomorphism; JC*-algebra isomorphism; Hyers-Ulam-Rassias stability; Cauchy-Jensen functional inequality; derivation;

D O I：

暂无

中图分类号：

O177.5 [巴拿赫代数（赋范代数）、拓扑代数、抽象调和分析];

学科分类号：

070104 ;

摘要：

In this article, we prove the Hyers-Ulam-Rassias stability of the following Cauchy-Jensen functional inequality:‖f (x) + f (y) + 2f (z) + 2f (w)‖≤‖ 2f x + y2 + z + w ‖(0.1)This is applied to investigate isomorphisms between C*-algebras, Lie C*-algebras and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras and JC*-algebras, associated with the Cauchy-Jensen functional equation 2f (x + y/2 + z + w) = f(x) + f(y) + 2f(z) + 2f(w).

引用

页码：309 / 320

页数：12

共 14 条

[1]

Stability of a functional inequality associated with the Jordan – von Neumann functional equation[J] . W?odzimierz Fechner.Aequationes mathematicae . 2006 (1)

[2] Homomorphisms between Poisson JC*-algebras [J].

Park, CG .

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2005, 36 (01) :79-97

[3]

Homomorphisms between JC *–algebras and Lie C *–algebras[J] . Chun Gil Park,Jin Chuan Hou,Sei Qwon Oh.Acta Mathematica Sinica, English Series . 2005 (6)

[4]

On inequalities associated with the Jordan-von Neumann functional equation[J] . Jürg R?tz.Aequationes Mathematicae . 2003 (1)

[5]

Eine zur Parallelogrammgleichung ?quivalente Ungleichung[J] . A. Gilányi.Aequationes Mathematicae . 2001 (3)

[6] On the stability of functional equations and a problem of Ulam [J].

Rassias, TM .

ACTA APPLICANDAE MATHEMATICAE, 2000, 62 (01) :23-130

[7] On the asymptoticity aspect of Hyers-Ulam stability of mappings [J].

Hyers, DH ;

Isac, G ;

Rassias, TM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (02) :425-430

[8]

Proprieta’ locali e approssimazione di operatori[J] . Fulvia Skof.Rendiconti del Seminario Matematico e Fisico di Milano . 1983 (1)

[9]

On the stability of the linear mapping in Banach spaces[J] . Themistocles M. Rassias.proc . 1978 (2)

[10]

Solution of a problem of Ulam .2 John M. Rassias. J. Approximation Theory . 1989

← 1 2 →