Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70866In this paper, we describe families of those bounded linear operators on a separable Hilbert space that are simultaneously unitarily equivalent to integral operators on $L_2(R)$ with bounded and arbitrarily smooth Carleman kernels. The main result is a qualitative sharpening of an earlier result of [7].LaTex file, 9 pagesSpectral TheoryFunctional Analysis47B38; 47G10; 45P05Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernelstext