Integral representations of closed operators as bi-Carleman operators with arbitrarily smooth kernels
Spectral Theory
2007-05-23 v1 Functional Analysis
Abstract
In this paper, we characterize all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral bi-Carleman operator in with bounded and arbitrarily smooth kernel on . In addition, we give an explicit construction of corresponding unitary operators. The main result is a qualitative sharpening of an earlier result of [5].
Cite
@article{arxiv.math/0404244,
title = {Integral representations of closed operators as bi-Carleman operators with arbitrarily smooth kernels},
author = {Igor M. Novitskii},
journal= {arXiv preprint arXiv:math/0404244},
year = {2007}
}
Comments
LaTeX file, 10 pages