Integral representations of unbounded operators by arbitrarily smooth Carleman kernels
Spectral Theory
2007-05-23 v1 Functional Analysis
Abstract
In this paper, we give a characterization of all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral operator in with bounded and arbitrarily smooth Carleman kernel on . In addition, we give an explicit construction of corresponding unitary operators.
Cite
@article{arxiv.math/0210186,
title = {Integral representations of unbounded operators by arbitrarily smooth Carleman kernels},
author = {Igor M. Novitskii},
journal= {arXiv preprint arXiv:math/0210186},
year = {2007}
}
Comments
11 pages