Integral representations of closed operators as bi-Carleman operators with arbitrarily smooth kernels

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dc.creatorNovitskii, Igor M.
dc.date2004-04-13
dc.date.accessioned2026-07-07T05:07:24Z
dc.date.available2026-07-07T05:07:24Z
dc.descriptionIn this paper, we characterize all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral bi-Carleman operator in $L_2(R)$ with bounded and arbitrarily smooth kernel on $R^2$. In addition, we give an explicit construction of corresponding unitary operators. The main result is a qualitative sharpening of an earlier result of [5].
dc.descriptionLaTeX file, 10 pages
dc.identifierhttps://arxiv.org/abs/math/0404244
dc.identifierhttp://arxiv.org/abs/math/0404244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70848
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.subject47B38; 47G10; 45P05
dc.titleIntegral representations of closed operators as bi-Carleman operators with arbitrarily smooth kernels
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