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Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

Igor M. Novitskii
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Abstract

In this paper, we describe families of those bounded linear operators on a separable Hilbert space that are simultaneously unitarily equivalent to integral operators on $L_2(R)$ with bounded and arbitrarily smooth Carleman kernels. The main result is a qualitative sharpening of an earlier result of [7].

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Igor M. Novitskii. 2004-04-15. Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels. https://arxiv.org/abs/math/0404274

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