Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

Igor M. Novitskii

Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

Spectral Theory 2007-05-23 v1 Functional Analysis

Authors: Igor M. Novitskii

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].

Keywords

operator theory on hilbert spaces reproducing kernel hilbert space operator theory

Cite

@article{arxiv.math/0404274,
  title  = {Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels},
  author = {Igor M. Novitskii},
  journal= {arXiv preprint arXiv:math/0404274},
  year   = {2007}
}