Spectrum and resolvent of a partial integral operator

M. I. Gil'

doi:10.1080/00036810802035626

Spectrum and resolvent of a partial integral operator

M. I. Gil'

Department of Mathematics

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

10 Scopus citations

Abstract

We consider the partial integral operator (Formula presented.) where w(.,.), K(.,.,.), φ are given functions. Norm estimates for the resolvent and bounds for the spectrum are established. Our main tool is the direct integral of Hilbert spaces and recent estimates for norms of the resolvents of compact operators and operators with the compact Hermitian components.

Original language	English
Pages (from-to)	555-566
Number of pages	12
Journal	International Journal of Phytoremediation
Volume	87
Issue number	5
DOIs	https://doi.org/10.1080/00036810802035626
State	Published - 1 Jan 2008

Keywords

45P05
47B10
47G10
Direct integral of Hilbert spaces
Partial integral operators
Perturbations
Resolvent
Spectrum

ASJC Scopus subject areas

Environmental Chemistry
Pollution
Plant Science

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10.1080/00036810802035626

Cite this

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AB - We consider the partial integral operator (Formula presented.) where w(.,.), K(.,.,.), φ are given functions. Norm estimates for the resolvent and bounds for the spectrum are established. Our main tool is the direct integral of Hilbert spaces and recent estimates for norms of the resolvents of compact operators and operators with the compact Hermitian components.

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KW - 47B10

KW - 47G10

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KW - Partial integral operators

KW - Perturbations

KW - Resolvent

KW - Spectrum

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DO - 10.1080/00036810802035626

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AN - SCOPUS:84881553920

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JO - International Journal of Phytoremediation

JF - International Journal of Phytoremediation

IS - 5

ER -

Spectrum and resolvent of a partial integral operator

Abstract

Keywords

ASJC Scopus subject areas

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