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Linear Maps Preserving Invertibility or Spectral Radius on Some $C^{*}$-algebras
Journal: Sahand Communications in Mathematical Analysis (Vol.11, No. 1)Publication Date: 2018-08-01
Authors : Fatemeh Golfarshchi; Ali Asghar Khalilzadeh;
Page : 91-97
Keywords : $C^{*}$-algebra; Hilbert $C^{*}$-module; Invertibility preserving; Spectral radius preserving; Jordan isomorphism;
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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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Last modified: 2019-04-28 14:06:53