Invariant Subspaces and Perturbations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1992Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 114, page 365 (issn: 0002-9939,

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Authors: Noakes, Lyle;

doi: 10.2307/2159656 , 10.1090/s0002-9939-1992-1087467-9

Invariant Subspaces and Perturbations

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Abstract

We study the stability of proper closed invariant subspaces with respect to perturbations in norm of continuous operators on a Hubert space, using a nonlinear C ∞ {C^\infty } map of Banach spaces.

Keywords

Invariant subspaces of linear operators, Perturbation theory of linear operators, Linear operators defined by compactness properties, stability, invariant subspace theorem for compact perturbations of certain Hermitian operators, Implicit function theorems; global Newton methods on manifolds

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