A noncommutative version of the Fej\'er-Riesz theorem
Operator Algebras
2010-07-07 v2 Functional Analysis
Abstract
Let be the unital *-algebra generated by the unilateral shift operator. It is shown that for any nonnegative operator there is an element such that .
Keywords
Cite
@article{arxiv.0908.3805,
title = {A noncommutative version of the Fej\'er-Riesz theorem},
author = {Yurii Savchuk and Konrad Schmüdgen},
journal= {arXiv preprint arXiv:0908.3805},
year = {2010}
}