Sahand Communications in Mathematical Analysis (Aug 2018)
Linear Maps Preserving Invertibility or Spectral Radius on Some $C^{*}$-algebras
Abstract
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 $A$.
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