Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 9, Number 3 (2018), 426-434.
The perturbation class of algebraic operators and applications
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.
Ann. Funct. Anal., Volume 9, Number 3 (2018), 426-434.
Received: 29 June 2017
Accepted: 15 September 2017
First available in Project Euclid: 6 February 2018
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Oudghiri, Mourad; Souilah, Khalid. The perturbation class of algebraic operators and applications. Ann. Funct. Anal. 9 (2018), no. 3, 426--434. doi:10.1215/20088752-2017-0057. https://projecteuclid.org/euclid.afa/1517886228