arXiv math/04042742004-04-15math.SPmath.FA

Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

Igor M. Novitskii

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英文摘要：

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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