Rank-preserving Module Maps
نویسنده
چکیده
In this paper, we characterize rank one preserving module maps on a Hilbert C∗−module and study its applications on free probability theory.
منابع مشابه
Linear Maps Preserving Invertibility or Spectral Radius on Some $C^{*}$-algebras
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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