Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type
Spectral Theory
2007-05-23 v1 Functional Analysis
Abstract
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 having arbitrarily smooth kernels of Mercer type. The main result is a qualitative sharpening of an earlier result of [7].
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Cite
@article{arxiv.math/0404228,
title = {Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type},
author = {Igor M. Novitskii},
journal= {arXiv preprint arXiv:math/0404228},
year = {2007}
}
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10 pages