On the Basis Property of Root Vectors Related to a Non-self-adjoint Analytic Operator

Aref Jeribi ()
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Aref Jeribi: University of Sfax, Department of Mathematics

Chapter Chapter 12 in Perturbation Theory for Linear Operators, 2021, pp 389-407 from Springer

Abstract: Abstract In this chapter, we focus on the study of the asymptotic behavior of the eigenvalues of an analytic operator in the sense of Kato. More precisely, we investigate the behavior of the spectrum of the perturbed operator $$T(\varepsilon )$$ T ( ε ) under a finite rank perturbation and we develop perturbation theory for these new type conditions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-2528-2_12

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DOI: 10.1007/978-981-16-2528-2_12

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