Integral representations of unbounded operators by arbitrarily smooth Carleman kernels

Details Integral representations of unbounded operators by arbitrarily smooth Carleman kernels Integral representations of unbounded operators by arbitrarily smooth Carleman kernels

2002-10-13

arxiv.org/abs/math/0210186v1

Mathematics

Spectral Theory

11 pages

Scientific paper

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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