Ring Isomorphisms and Complete Preservers of Fixed Points for Multipliers  

作　　者：Ting ZHANG Jinchuan HOU 

机构地区：[1]School of Mathematics, Taiyuan University of Technology [2]Department of Mathematics, Shanxi University

出　　处：《Journal of Mathematical Research with Applications》2019年第1期89-100,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11671294)

摘　　要：Let R_1 and R_2 be two rings with unit I. We give some characterizations of ring homomorphisms and ring isomorphisms between R_1 and R_2 in term of complete preservers of fixed points of multipliers, under some mild assumption on R_1. Applications to several kinds of operator algebras such as Banach algebras, nest algebras, matrix algebras and standard operator algebras are presented.Let R_1 and R_2 be two rings with unit I. We give some characterizations of ring homomorphisms and ring isomorphisms between R_1 and R_2 in term of complete preservers of fixed points of multipliers, under some mild assumption on R_1. Applications to several kinds of operator algebras such as Banach algebras, nest algebras, matrix algebras and standard operator algebras are presented.

关 键 词：COMPLETE PRESERVER problem BANACH algebra RING isomorphism operator on BANACH space 

分 类 号：O1[理学—数学]