Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type

Details Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type

2004-04-12

arxiv.org/abs/math/0404228v1

Mathematics

Spectral Theory

10 pages

Scientific paper

In this paper, we characterize the families of those bounded linear operators
on a separable Hilbert space which are simultaneously unitarily equivalent to
integral bi-Carleman operators on $L_2(R)$ having arbitrarily smooth kernels of
Mercer type. The main result is a qualitative sharpening of an earlier result
of [7].

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