ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Linear Maps Preserving Invertibility or Spectral Radius on Some $C^{*}$-algebras

Journal: Sahand Communications in Mathematical Analysis (Vol.11, No. 1)

Publication Date:

Authors : ; ;

Page : 91-97

Keywords : $C^{*}$-algebra; Hilbert $C^{*}$-module; Invertibility preserving; Spectral radius preserving; Jordan isomorphism;

Source : Download Find it from : Google Scholarexternal


Let $A$ be a unital $C^{*}$-algebra which has a faithful state. If $varphi:Arightarrow A$ is a unital linear map which is bijective and invertibility preserving or surjective and spectral radius preserving, then $varphi$ is a Jordan isomorphism. Also, we discuss other types of linear preserver maps on $A$.

Last modified: 2019-04-28 14:06:53