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A note on integral representations of linear operators

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Abstract

In this paper we describe families of those bounded linear operators that are simultaneously unitarily equivalent to integral operators with smooth Carleman kernels. The singleton case of the main result implies that every integral operator is unitarily equivalent to an integral operator having smooth Carleman kernel.

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Authors and Affiliations

  1. Institute for Applied Mathematics, Russian Academy of Sciences, 9, Shevchenko Street, 680 000, Khabarovsk, Russia

    Igor M. Novitskiî

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  1. Igor M. Novitskiî
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Novitskiî, I.M. A note on integral representations of linear operators. Integr equ oper theory 35, 93–104 (1999). https://doi.org/10.1007/BF01225530

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  • DOI: https://doi.org/10.1007/BF01225530

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