Integral representations of closed operators as bi-Carleman operators with arbitrarily smooth kernels
Abstract
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 L2(R) with bounded and arbitrarily smooth kernel on R2. In addition, we give an explicit construction of corresponding unitary operators. The main result is a qualitative sharpening of an earlier result of [5].
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