Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels

by    Igor M. Novitskii

Preprint series: 03-16, Reports on Numerical Mathematics

Igor M. Novitskii

MSC:
47B38 Operators on function spaces (general)
47G10 Integral operators [See also 45P05]

Abstract: In this paper, we describe families of those bounded linear
operators on a sepaprable 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: Integral linear operator, Carleman operator, Hilbert-Schmidt operator, Carleman kernel, limit spectrum, Lemarie-Meyer wavelet

Upload: 2003-12-05


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