Perturbations of invariant subspaces of operators with Hilbert–Schmidt Hermitian components

Michael Gil’

doi:10.1007/s00013-015-0816-8

Perturbations of invariant subspaces of operators with Hilbert–Schmidt Hermitian components

Michael Gil’

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The paper deals with bounded non-selfadjoint operators having Hilbert–Schmidt imaginary Hermitian components. A perturbation bound for invariant subspaces is established. Our results can be considered as a particular generalization of the well-known Davis–Kahan sin θ-theorem for selfadjoint operators.

Original language	English
Pages (from-to)	447-452
Number of pages	6
Journal	Archiv der Mathematik
Volume	105
Issue number	5
DOIs	https://doi.org/10.1007/s00013-015-0816-8
State	Published - 1 Nov 2015

Keywords

Hilbert space
Invariant subspaces
Linear operators
Operators with Hilbert–Schmidt Hermitian components
Perturbations

ASJC Scopus subject areas

General Mathematics

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10.1007/s00013-015-0816-8

Cite this

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abstract = "The paper deals with bounded non-selfadjoint operators having Hilbert–Schmidt imaginary Hermitian components. A perturbation bound for invariant subspaces is established. Our results can be considered as a particular generalization of the well-known Davis–Kahan sin θ-theorem for selfadjoint operators.",

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Perturbations of invariant subspaces of operators with Hilbert–Schmidt Hermitian components

Abstract

Keywords

ASJC Scopus subject areas

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