Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels
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 $L_2(R)$ with bounded and arbitrarily smooth Carleman kernels. The main result is a qualitative sharpening of an earlier result of [7].
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 arXiv:
 arXiv:math/0404274
 Bibcode:
 2004math......4274N
 Keywords:

 Mathematics  Spectral Theory;
 Mathematics  Functional Analysis;
 47B38;
 47G10;
 45P05
 EPrint:
 LaTex file, 9 pages