Spectrum Preserving Linear Map on Liminal \(C^*\)-algebras


Authors

F. Golfarshchi - Department of Mathematics, Sahand University of Technology, Tabriz-Iran. A. A. Khalilzadeh - Department of Mathematics, Sahand University of Technology, Tabriz-Iran.


Abstract

Let \(A\) and \(B\) be unital semi-simple Banach algebras. If \(B\) is a liminal \(C^*\)-algebra and \(\varphi\) is a surjective spectrum preserving linear mapping from \(A\) to \(B\), then \(\varphi\) is a Jordan homomorphism.


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