A NONCOMMUTATIVE VERSION OF THE FEJER-RIESZ THEOREM

被引：3

作者：

Savchuk, Yurii ^{[1
]}

Schmuedgen, Konrad ^{[1
]}

机构：

[1] Univ Leipzig, Math Inst, D-04103 Leipzig, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 04期

关键词：

Fejer-Riesz theorem; noncommutative Positivstellensatz; Toeplitz algebra;

D O I：

10.1090/S0002-9939-09-10215-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：1243 / 1248

页数：6

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