Riesz and Szegö type factorizations for noncommutative Hardy spaces

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dc.creatorBekjan, Turdebek N.
dc.creatorXu, Quanhua
dc.date2007-05-14
dc.date.accessioned2026-07-07T08:01:26Z
dc.date.available2026-07-07T08:01:26Z
dc.descriptionLet $\A$ be a finite subdiagonal algebra in Arveson's sense. Let $H^p(\A)$ be the associated noncommutative Hardy spaces, $0<p\le\8$. 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 $p<1$.
dc.descriptionTo appear in J. Operator Theory
dc.identifierhttps://arxiv.org/abs/0705.1947
dc.identifierhttp://arxiv.org/abs/0705.1947
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128910
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectPrimary 46L52; Secondary, 47L05
dc.titleRiesz and Szegö type factorizations for noncommutative Hardy spaces
dc.typetext

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