Invertibility and spectra of operators on tensor products of Hilbert spaces

M. I. Gil

doi:10.1017/S0017089503001575

Invertibility and spectra of operators on tensor products of Hilbert spaces

M. I. Gil

Department of Mathematics

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

5 Scopus citations

Abstract

A class of operators on a tensor product of separable Hilbert spaces is considered. It contains various traditional operators. Invertibility, positive invertibility conditions and estimates for the norm of the resolvents are established. In addition, bounds for the spectrum are suggested. Applications to partial integral and integro-differential operators are discussed.

Original language	English
Pages (from-to)	101-116
Number of pages	16
Journal	Glasgow Mathematical Journal
Volume	46
Issue number	1
DOIs	https://doi.org/10.1017/S0017089503001575
State	Published - 1 Jan 2004

ASJC Scopus subject areas

General Mathematics

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AB - A class of operators on a tensor product of separable Hilbert spaces is considered. It contains various traditional operators. Invertibility, positive invertibility conditions and estimates for the norm of the resolvents are established. In addition, bounds for the spectrum are suggested. Applications to partial integral and integro-differential operators are discussed.

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Invertibility and spectra of operators on tensor products of Hilbert spaces

Abstract

ASJC Scopus subject areas

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