On the truncated operator trigonometric moment problem
Functional Analysis
2015-01-13 v1
Abstract
In this paper we study the truncated operator trigonometric moment problem. All solutions of the moment problem are described by a Nevanlinna-type parameterization. In the case of moments acting in a separable Hilbert space, the matrices of the operator coefficients in the Nevanlinna-type formula are calculated by the prescribed moments. Conditions for the determinacy of the moment problem are given, as well.
Keywords
Cite
@article{arxiv.1501.02396,
title = {On the truncated operator trigonometric moment problem},
author = {Sergey M. Zagorodnyuk},
journal= {arXiv preprint arXiv:1501.02396},
year = {2015}
}
Comments
16 pages