Abstract
In this article, we completely describe the perturbation class, the commuting perturbation class, and the topological interior of the class of all bounded linear algebraic operators. As applications, we also focus on the stability of the essential ascent spectrum and the essential descent spectrum under finite-rank perturbations.
Citation
Mourad Oudghiri. Khalid Souilah. "The perturbation class of algebraic operators and applications." Ann. Funct. Anal. 9 (3) 426 - 434, August 2018. https://doi.org/10.1215/20088752-2017-0057
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