Stability of sums of operators

Michael Gil’

doi:10.1007/s11565-016-0243-1

Stability of sums of operators

Michael Gil’

Department of Mathematics

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

Abstract

A linear operator is said to be stable (Hurwitzian) if its spectrum is located in the open left half-plane. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be stable.

Original language	English
Pages (from-to)	61-70
Number of pages	10
Journal	Annali dell'Universita di Ferrara
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/s11565-016-0243-1
State	Published - 1 May 2016

Keywords

Finite dimensional operators
Linear operators
Operators with Hilbert–Schmidt Hermitian components
Spectrum
Stability

ASJC Scopus subject areas

General Mathematics

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10.1007/s11565-016-0243-1

Cite this

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title = "Stability of sums of operators",

abstract = "A linear operator is said to be stable (Hurwitzian) if its spectrum is located in the open left half-plane. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be stable.",

keywords = "Finite dimensional operators, Linear operators, Operators with Hilbert–Schmidt Hermitian components, Spectrum, Stability",

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AB - A linear operator is said to be stable (Hurwitzian) if its spectrum is located in the open left half-plane. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be stable.

KW - Finite dimensional operators

KW - Linear operators

KW - Operators with Hilbert–Schmidt Hermitian components

KW - Spectrum

KW - Stability

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JO - Annali dell'Universita di Ferrara

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IS - 1

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Stability of sums of operators

Abstract

Keywords

ASJC Scopus subject areas

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