Invertibility and positive invertibility of Hille-Tamarkin integral operators

M. I. Gil

doi:10.1023/A:1015608132293

Invertibility and positive invertibility of Hille-Tamarkin integral operators

M. I. Gil

Department of Mathematics

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

Abstract

Hille-Tamarkin integral operators on the space L^p[0, 1] are considered. Invertibility conditions, estimates for the norm of the inverse operators and positive invertibility conditions are established. In addition, bounds for the spectral radius are suggested. Applications to nonselfadjoint differential operators and integro-differential ones are discussed.

Original language	English
Pages (from-to)	37-51
Number of pages	15
Journal	Acta Mathematica Hungarica
Volume	95
Issue number	1-2
DOIs	https://doi.org/10.1023/A:1015608132293
State	Published - 1 Apr 2002

Keywords

Differential operators
Integral operators
Integro-differential operators
Invertibility and positive invertibility
Norms of inverse operators
Spectral radius

ASJC Scopus subject areas

General Mathematics

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10.1023/A:1015608132293

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KW - Integral operators

KW - Integro-differential operators

KW - Invertibility and positive invertibility

KW - Norms of inverse operators

KW - Spectral radius

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Invertibility and positive invertibility of Hille-Tamarkin integral operators

Abstract

Keywords

ASJC Scopus subject areas

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