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

共 50 条

[31] ON AN INEQUALITY OF FEJER AND RIESZ
HUBER, A
ANNALS OF MATHEMATICS, 1956, 63 (03) : 572 - 587
[32] Subharmonicity and a Version of Riesz Theorem on Harmonic Conjugates
Avetisyan, Karen
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2014, 24 (04) : 909 - 919
[33] Subharmonicity and a Version of Riesz Theorem on Harmonic Conjugates
Karen Avetisyan
Advances in Applied Clifford Algebras, 2014, 24 : 909 - 919
[34] A CONSTRUCTIVE PROOF OF A NONCOMMUTATIVE FEJ?ER-RIESZ THEOREM
Arora, Palak
OPERATORS AND MATRICES, 2023, 17 (01): : 141 - 152
[35] A noncommutative version of the John-Nirenberg theorem
Junge, Marius
Musat, Magdalena
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (01) : 115 - 142
[36] A noncommutative version of the Julia-Wolff-Caratheodory theorem
Belinschi, Serban Teodor
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2017, 95 : 541 - 566
[37] Missing link between probability theory and quantum mechanics: The Riesz-Fejer theorem
Frohner, FH
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1998, 53 (08): : 637 - 654
[38] On a theorem of fejer
Randels, WC
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1933, 19 : 697 - 699
[39] On Fejer and Boehner-Riesz means
Ditzian, Z
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2005, 11 (04) : 489 - 496
[40] New version of the daniell-stone-riesz representation theorem
Koenig, Heinz
POSITIVITY, 2008, 12 (01) : 105 - 118

← 1 2 3 4 5 →