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Estimates for norms of resolvents of~operators on tensor products of Hilbert spaces

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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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Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva, 84105, Israel

    M. I. Gil'

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  1. M. I. Gil'
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Gil', M.I. Estimates for norms of resolvents of~operators on tensor products of Hilbert spaces. Periodica Mathematica Hungarica 49, 27–41 (2004). https://doi.org/10.1023/B:MAHU.0000040537.06348.2d

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  • DOI: https://doi.org/10.1023/B:MAHU.0000040537.06348.2d

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