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

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In 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].
LaTeX file, 10 pages

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Spectral Theory, Functional Analysis, 47B38; 47G10; 45P05

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http://salesiana.dossiersoluciones.com/handle/123456789/70848

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404244
 http://arxiv.org/abs/math/0404244

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arXiv