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Integral representations of unbounded operators by infinitely smooth kernels

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Central European Journal of Mathematics

Abstract

In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily equivalent to an integral operator in L 2(R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly definable unitary operators.

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Authors and Affiliations

  1. Institute for Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, 92, Zaparina Street, 680 000, Khabarovsk, Russia

    Igor M. Novitskiî

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  1. Igor M. Novitskiî
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Novitskiî, I.M. Integral representations of unbounded operators by infinitely smooth kernels. centr.eur.j.math. 3, 654–665 (2005). https://doi.org/10.2478/BF02475625

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  • DOI: https://doi.org/10.2478/BF02475625

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