Integral representations of unbounded operators by arbitrarily smooth Carleman kernels

Igor M. Novitskii

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Integral representations of unbounded operators by arbitrarily smooth Carleman kernels

Igor M. Novitskii

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Abstract

In this paper, we give a characterization of all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral operator in $L_2(R)$ with bounded and arbitrarily smooth Carleman kernel on $R^2$. In addition, we give an explicit construction of corresponding unitary operators.

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BibTeX RIS

Igor M. Novitskii. 2002-10-13. Integral representations of unbounded operators by arbitrarily smooth Carleman kernels. https://arxiv.org/abs/math/0210186

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