Author: M. Gil' 1
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  • 1 Ben Gurion University of the Negev Department of Mathematics P.O. Box 653 Beer-Sheva 84105 Israel P.O. Box 653 Beer-Sheva 84105 Israel
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Abstract  

A class of linear operators on tensor products of Hilbert spaces is considered. That class contains integro-differential operators arising in various applications. Estimates for the norm of the resolvent of considered operators are derived. By virtue of the obtained estimates, the spectrum of perturbed operators is investigated. These results are new even in the finite-dimensional case. Applications to integro-differential operators are also discussed.

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