Document Type : Research Paper
Authors
1 Department of Multimedia, Tabriz Islamic Art University, Tabriz, Iran.
2 Department of Mathematics, Sahand University of Technology, Sahand Street, Tabriz, Iran.
Abstract
Let $A$ be a unital $C^{*}$-algebra which has a faithful state. If $\varphi:A\rightarrow A$ 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 $A$.
Keywords
- $C^{*}$-algebra
- Hilbert $C^{*}$-module
- Invertibility preserving
- Spectral radius preserving
- Jordan isomorphism
Main Subjects
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