Analytic Operators in Feki-Jeribi-Sfaxi’s Sense

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

Chapter Chapter 9 in Perturbation Theory for Linear Operators, 2021, pp 303-333 from Springer

Abstract: Abstract The purpose of this chapter is to formulate some new supplements to perturbation theory of linear operators [21] by considering a non-analytic perturbation “analytic operators in Feki-Jeribi-Sfaxi’s sense” involving more than one perturbation parameter. On the one hand, under a relative boundedness condition, we show the invariance of the closure and we establish sufficient conditions to give the series expansions of the eigenvalue and the eigenvector of the perturbed operator.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-2528-2_9

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DOI: 10.1007/978-981-16-2528-2_9

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