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

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dc.creatorNovitskii, Igor M.
dc.date2004-04-12
dc.date.accessioned2026-07-07T05:07:23Z
dc.date.available2026-07-07T05:07:23Z
dc.descriptionIn 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].
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0404228
dc.identifierhttp://arxiv.org/abs/math/0404228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70838
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.subject47B38; 47G10; 45P05
dc.titleSimultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type
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