Integral representations of unbounded operators by arbitrarily smooth Carleman kernels

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65266In 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.11 pagesSpectral TheoryFunctional Analysis47G10; 45P05Integral representations of unbounded operators by arbitrarily smooth Carleman kernelstext