On a Riesz Basis of Finite-Dimensional Invariant Subspaces

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

Chapter Chapter 8 in Perturbation Theory for Linear Operators, 2021, pp 255-302 from Springer

Abstract: Abstract This chapter is devoted to study the Riesz basis of finite-dimensional invariant subspaces for a class of unbounded perturbations of unbounded normal operators, we study the change of the spectrum and we establish the existence of a Riesz basis of finite-dimensional invariant subspaces under an additional a priori assumption on the spectrum of the perturbed operator. The results are applied to two classes of block operator matrices.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-2528-2_8

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DOI: 10.1007/978-981-16-2528-2_8

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