University of MaraghehSahand Communications in Mathematical Analysis2322-580711120180801Linear Maps Preserving Invertibility or Spectral Radius on Some $C^{*}$-algebras91972370210.22130/scma.2017.23702ENFatemeh GolfarshchiDepartment of Multimedia, Tabriz
Islamic Art University, Tabriz, Iran.Ali Asghar KhalilzadehDepartment of Mathematics, Sahand University of Technology, Sahand Street, Tabriz, Iran.Journal Article20160528Let $A$ 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 $A$.http://scma.maragheh.ac.ir/article_23702_256693af3ce96510e5ebccb7f3e2794d.pdf