Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

2004/04/15 by Igor M. Novitskii, Novitskii, Igor M.
Mathematics · #45P05 #47B38 #47G10 #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP) #math.FA #math.SP #msc:45P05 #msc:47B38 #msc:47G10

paper · pdf · doi:10.48550/arxiv.math/0404274

LaTex file, 9 pages

arxiv created 2004/04/15 · arxiv updated 2009/12/01

Abstract

In this paper, we describe families of those bounded linear operators on a separable Hilbert space that are simultaneously unitarily equivalent to integral operators on L₂(R) with bounded and arbitrarily smooth Carleman kernels. The main result is a qualitative sharpening of an earlier result of [7].

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