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arXiv · 1503.08625

Generalized Inner-Outer Factorization in non commutative Hardy Algebras

Leonid Helmer
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Abstract

Let $H^{\infty}(E)$ be a non commutative Hardy algebra, associated with a $W^*$-correspondence $E$. In this paper we construct factorizations of inner-outer type of the elements of $H^{\infty}(E)$ represented via the induced representation, and of the elements of its commutant. These factorizations generalize the classical inner-outer factorization of elements of $H^\infty(\mathbb{D})$. Our results also generalize some results that were obtained by several authors in some special cases.

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Leonid Helmer. 2015-03-30. Generalized Inner-Outer Factorization in non commutative Hardy Algebras. https://arxiv.org/abs/1503.08625

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