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INVERTIBILITY AND SPECTRA OF OPERATORS ON TENSOR PRODUCTS OF HILBERT SPACES

Published online by Cambridge University Press:  15 January 2004

M. I. GIL'
M. I. GIL'
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel e-mail: gilmi@black.bgu.ac.il
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Abstract

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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.

Keywords

47A5547A7547G1047G20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 1 , January 2004 , pp. 101 - 116
Copyright
2004 Glasgow Mathematical Journal Trust

Footnotes

This research was supported by the Kamea Fund.