Annals of Functional Analysis

The perturbation class of algebraic operators and applications

Mourad Oudghiri and Khalid Souilah

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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.

Article information

Source
Ann. Funct. Anal., Volume 9, Number 3 (2018), 426-434.

Dates
Received: 29 June 2017
Accepted: 15 September 2017
First available in Project Euclid: 6 February 2018

Permanent link to this document
https://projecteuclid.org/euclid.afa/1517886228

Digital Object Identifier
doi:10.1215/20088752-2017-0057

Mathematical Reviews number (MathSciNet)
MR3835229

Zentralblatt MATH identifier
06946366

Subjects
Primary: 47A55: Perturbation theory [See also 47H14, 58J37, 70H09, 81Q15]
Secondary: 47A10: Spectrum, resolvent 47A99: None of the above, but in this section

Keywords
perturbation classes problem algebraic operators

Citation

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


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References

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