A noncommutative version of the Fejér-Riesz theorem

Details A noncommutative version of the Fejér-Riesz theorem A noncommutative version of the Fejér-Riesz theorem

2009-08-26

arxiv.org/abs/0908.3805v2

Proc. Amer. Math. Soc. 138 (2010), no. 4, 1243--1248

Mathematics

Operator Algebras

Scientific paper

Let $\cX$ be the unital *-algebra generated by the unilateral shift operator.
It is shown that for any nonnegative operator $X\in \cX$ there is an element
$Y\in \cX$ such that $X=Y^*Y$.

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