Linear Essential Spectrum Compressors

Authors

  • Hassan Outouzzalt FSJES, Université Ibn Zohr, Agadir

Keywords:

Fredholm elements, essential spectrum, Weyl spectrum, essential spectral radius, linear preservers.

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 that compress different essential spectral
sets such as the (left, right) essential spectrum, the
semi-Fredholm spectrum, and the Weyl spectrum. Essentially
spectrally bounded linear mapping from A onto B are also
characterized.

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Published

2017-11-02

Issue

Vol. 10 No. 5: (October 2017)

Section

Functional Analysis

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How to Cite

Linear Essential Spectrum Compressors. (2017). European Journal of Pure and Applied Mathematics, 10(5), 1058-1066. https://www.ejpam.com/index.php/ejpam/article/view/3054