Riesz and Szegö type factorizations for noncommutative Hardy spaces

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Let $\A$ 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 $p<1$.
To appear in J. Operator Theory

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Operator Algebras, Functional Analysis, Primary 46L52; Secondary, 47L05

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http://salesiana.dossiersoluciones.com/handle/123456789/128910

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.1947
 http://arxiv.org/abs/0705.1947

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arXiv