Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

Details Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

2004-04-15

arxiv.org/abs/math/0404274v1

Mathematics

Spectral Theory

LaTex file, 9 pages

Scientific paper

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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