Linear Essential Spectrum Compressors

Hassan Outouzzalt

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.


Keywords


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

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


 

 


 

 

 


© 2007-2017 European Journal of Pure and Applied Mathematics (EJPAM)

Published by New York Business Global