Universal Jensen's Equations in Banach Modules over a C-Algebra and Its Unitary Group  

作　　者：Chun Gil PARK 

机构地区：[1]Department of Mathematics,Chungnam National University

出　　处：《Acta Mathematica Sinica,English Series》2004年第6期1047-1056,共10页数学学报（英文版）

基　　金：supported by Korea Research Foundation Grant KRF-2002-041-C00014

摘　　要：In this paper,we prove the generalized Hyers-Ulam-Rassias stability of universal Jensen's equations in Banach modules over a unital C~*-algebra.It is applied to show the stability of universal Jensen's equations in a Hilbert module over a unital C~*-algebra.Moreover,we prove the stability of linear operators in a Hilbert module over a unitat C~*-algebra.In this paper,we prove the generalized Hyers-Ulam-Rassias stability of universal Jensen's equations in Banach modules over a unital C~*-algebra.It is applied to show the stability of universal Jensen's equations in a Hilbert module over a unital C~*-algebra.Moreover,we prove the stability of linear operators in a Hilbert module over a unitat C~*-algebra.

关 键 词：Banach module over C~*-algebra Universal Jensen's equation Stability Hilbert module over C~*-algebra Real rank O Unitary group 

分 类 号：O153[理学—数学]