Filling in the holes of the semi-Fredholm domain

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2002 English Publisher:Springer Science and Business Media LLCJournal:Integral Equations and Operator Theory, volume 44, pages 359-369 (issn: 0378-620X, eissn: 1420-8989,

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Authors: Prăjitură, Gabriel T.;

doi: 10.1007/bf01212038

Filling in the holes of the semi-Fredholm domain

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Abstract

Consider a linear operator in some infinite-dimensional Hilbert space. The author finds sufficient conditions that for a given set of holes (bounded components) in the semi-Fredholm resolvent set of the operator, there exists an invariant subspace of the given operator such that the spectrum of the restriction is equal to the spectrum of the operator together with the chosen set of holes.

Related Organizations

College at Brockport
United States

Keywords

Invariant subspaces of linear operators, invariant subspace, Hilbert space, Spectrum, resolvent, (Semi-) Fredholm operators; index theories, semi-Fredholm operator, spectrum

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