Maps Preserving Commutativity up to a Factor on Standard Operator Algebras  

作　　者：Meiyan JIAO 

机构地区：[1]Department of Applied Mathematics,Shanxi University of Finance & Economics

出　　处：《Journal of Mathematical Research with Applications》2013年第6期708-716,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.111101250);Innovative Research Team,Department of Applied Mathematics,Shanxi University of Finance & Economics

摘　　要：Let X, Y be real or complex Banach spaces with dimension greater than 2 and A, B be standard operator algebras on X and Y, respectively. Let φ ：A →B be a unital surjective map. In this paper, we characterize the map φ on .4 which satisfies （A - B）R = R（A-B） ξR （（A-B）→ （φ（B））φ（R） =φ（R）（（A）- （B）） for A, B, R E .4 and for some scalarLet X, Y be real or complex Banach spaces with dimension greater than 2 and A, B be standard operator algebras on X and Y, respectively. Let φ ：A →B be a unital surjective map. In this paper, we characterize the map φ on .4 which satisfies （A - B）R = R（A-B） ξR （（A-B）→ （φ（B））φ（R） =φ（R）（（A）- （B）） for A, B, R E .4 and for some scalar

关 键 词：PRESERVERS standard operator algebras commutativity up to a factor. 

分 类 号：O177[理学—数学]