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Analytic Operators in Feki-Jeribi-Sfaxi’s Sense

In: Perturbation Theory for Linear Operators

Author

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  • Aref Jeribi

    (University of Sfax, Department of Mathematics)

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.

Suggested Citation

  • Aref Jeribi, 2021. "Analytic Operators in Feki-Jeribi-Sfaxi’s Sense," Springer Books, in: Perturbation Theory for Linear Operators, chapter 0, pages 303-333, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-2528-2_9
    DOI: 10.1007/978-981-16-2528-2_9
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