Riesz and Szegö type factorizations for noncommutative Hardy spaces

Turdebek N. Bekjan; Quanhua Xu

Riesz and Szegö type factorizations for noncommutative Hardy spaces

Turdebek N. Bekjan^*
, Quanhua Xu

^*Corresponding author for this work

Xinjiang University
CNRS

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

Let A be a finite subdiagonal algebra in Arveson's sense. Let H^p(A) be the associated noncommutative Hardy spaces, 0 < p ≤ ∞. We extend to the case of all positive indices most recent results about these spaces, which include notably the Riesz, Szegö and inner-outer type factorizations. One new tool of the paper is the contractivity of the underlying conditional expectation on H^p(A) for p < 1.

Original language	English
Pages (from-to)	215-231
Number of pages	17
Journal	Journal of Operator Theory
Volume	62
Issue number	1
State	Published - Jun 2009
Externally published	Yes

Keywords

Noncommutative Hardy spaces
Outer operators
Riesz and szegö factorizations
Subdiagonal algebras

Cite this

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abstract = "Let A be a finite subdiagonal algebra in Arveson's sense. Let Hp(A) be the associated noncommutative Hardy spaces, 0 < p ≤ ∞. We extend to the case of all positive indices most recent results about these spaces, which include notably the Riesz, Szeg{\"o} and inner-outer type factorizations. One new tool of the paper is the contractivity of the underlying conditional expectation on Hp(A) for p < 1.",

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N2 - Let A be a finite subdiagonal algebra in Arveson's sense. Let Hp(A) be the associated noncommutative Hardy spaces, 0 < p ≤ ∞. We extend to the case of all positive indices most recent results about these spaces, which include notably the Riesz, Szegö and inner-outer type factorizations. One new tool of the paper is the contractivity of the underlying conditional expectation on Hp(A) for p < 1.

AB - Let A be a finite subdiagonal algebra in Arveson's sense. Let Hp(A) be the associated noncommutative Hardy spaces, 0 < p ≤ ∞. We extend to the case of all positive indices most recent results about these spaces, which include notably the Riesz, Szegö and inner-outer type factorizations. One new tool of the paper is the contractivity of the underlying conditional expectation on Hp(A) for p < 1.

KW - Noncommutative Hardy spaces

KW - Outer operators

KW - Riesz and szegö factorizations

KW - Subdiagonal algebras

UR - https://www.scopus.com/pages/publications/77449116268

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JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 1

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Riesz and Szegö type factorizations for noncommutative Hardy spaces

Abstract

Keywords

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