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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title = "Perturbations of invariant subspaces of operators with Hilbert–Schmidt Hermitian components",

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.",

keywords = "Hilbert space, Invariant subspaces, Linear operators, Operators with Hilbert–Schmidt Hermitian components, Perturbations",

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KW - Hilbert space

KW - Invariant subspaces

KW - Linear operators

KW - Operators with Hilbert–Schmidt Hermitian components

KW - Perturbations

UR - https://www.scopus.com/pages/publications/84944687515

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DO - 10.1007/s00013-015-0816-8

M3 - Article

AN - SCOPUS:84944687515

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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