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arXiv · 1906.00841

A Beurling-Blecher-Labuschagne theorem for Haagerup noncommutative $L^p$ spaces

Turdebek N. Bekjan·Madi Raikhan
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Abstract

Let $\mathcal{M}$ be a $\sigma$-finite von Neumann algebra, equipped with a normal faithful state $\varphi$, and let $\mathcal{A}$ be maximal subdiagonal subalgebra of $\mathcal{M}$ and $1\le p<\8$. We prove a Beurling-Blecher-Labuschagne type theorem for $\mathcal{A}$-invariant subspaces of Haagerup noncommutative $L^p(\mathcal{M})$ and give a characterization of outer operators in Haagerup noncommutative $H^{p}$-spaces associated with $\mathcal{A}$.

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BibTeXRIS

Turdebek N. Bekjan, Madi Raikhan. 2019-06-03. A Beurling-Blecher-Labuschagne theorem for Haagerup noncommutative $L^p$ spaces. https://arxiv.org/abs/1906.00841

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