A survey on preservers of spectra and local spectra

Abdellatif Bourhim, Javad Mashreghi · Contemporary mathematics - American Mathematical Society · 2015

This article presents a survey of preservers of spectra and local spectra of operators. Our main goal is to explain Kaplansky’s conjecture, attempts that have been made to solve this open conjecture, and the new venues of research that have been opened as the result of such attempts. We will mainly focus on the preserver problems of spectra and local spectra.

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