Positive invertibility of nonselfadjoint operators

M. I. Gil

doi:10.1007/s11117-004-5372-6

Positive invertibility of nonselfadjoint operators

M. I. Gil

Department of Mathematics

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

1 Scopus citations

Abstract

The paper deals with a class of nonselfadjoint operators in a separable Hilbert lattice. Conditions for the positive invertibility are derived. Moreover, upper and lower estimates for the inverse operator are established. In addition, bounds for the positive spectrum are suggested. Applications to integral operators, integro-differential operators and infinite matrices are discussed.

Original language	English
Pages (from-to)	243-256
Number of pages	14
Journal	Positivity
Volume	8
Issue number	3
DOIs	https://doi.org/10.1007/s11117-004-5372-6
State	Published - 1 Sep 2004

Keywords

Infinite matrices
Integral operators
Integro-differential operators
Linear operators
Positive invertibility
Spectrum

ASJC Scopus subject areas

Analysis
Theoretical Computer Science
General Mathematics

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10.1007/s11117-004-5372-6

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AB - The paper deals with a class of nonselfadjoint operators in a separable Hilbert lattice. Conditions for the positive invertibility are derived. Moreover, upper and lower estimates for the inverse operator are established. In addition, bounds for the positive spectrum are suggested. Applications to integral operators, integro-differential operators and infinite matrices are discussed.

KW - Infinite matrices

KW - Integral operators

KW - Integro-differential operators

KW - Linear operators

KW - Positive invertibility

KW - Spectrum

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Positive invertibility of nonselfadjoint operators

Abstract

Keywords

ASJC Scopus subject areas

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