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Regular Functions 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. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the mentioned results to integro-differential equations 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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Correspondence to M. I. Gil’.

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Gil’, M.I. Regular Functions of Operators on Tensor Products of Hilbert Spaces. Integr. equ. oper. theory 54, 317–331 (2006). https://doi.org/10.1007/s00020-004-1359-8

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  • DOI: https://doi.org/10.1007/s00020-004-1359-8

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