Linear maps preserving Fredholm and Atkinson elements of C *-algebras |
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| Authors: | M Bendaoud M Burgos M Sarih |
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| Institution: | 1. Faculté des Sciences, Département de Mathématiques , University Moulay Ismail , Meknès, Maroc;2. Facultad de Ciencias, Departamento de Análisis Matemático , Universidad de Granada , Granada, Spain |
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| Abstract: | Let A be a unital C*-algebra of real rank zero and B be a unital semisimple complex Banach algebra. We characterize linear maps from A onto B preserving different essential spectral sets and quantities such as the essential spectrum, the (left, right) essential spectrum, the Weyl spectrum, the index and the essential spectral radius. |
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| Keywords: | linear preservers Fredholm elements left and right semi-Fredholm elements Atkinson elements ideal of inessential elements generalized Calkin algebra |
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