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

Igor M. Novitskii

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arXiv · math/0404228

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

Igor M. Novitskii

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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 $L_2(R)$ having arbitrarily smooth kernels of Mercer type. The main result is a qualitative sharpening of an earlier result of [7].

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BibTeX RIS

Igor M. Novitskii. 2004-04-12. Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type. https://arxiv.org/abs/math/0404228

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