Ring Isomorphisms and Complete Preservers of Fixed Points for Multipliers

摘要

Let R1 and R2 be two rings with unit I.We give some characterizations of ring homomorphisms and ring isomorphisms between R1 and R2 in term of complete preservers of fixed points of multipliers,under some mild assumption on R1.Applications to several kinds of operator algebras such as Banach algebras,nest algebras,matrix algebras and standard operator algebras are presented.