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A Beurling-Blecher-Labuschagne theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras - MaRDI portal

A Beurling-Blecher-Labuschagne theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras (Q524991)

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A Beurling-Blecher-Labuschagne theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras
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    A Beurling-Blecher-Labuschagne theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras (English)
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    27 April 2017
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    The author considers a version of Blecher and Labuschagne's Beurling theorem for semifinite von Neumann algebras. The author proves the Beurling-Blecher-Labuschagne theorem for \(L^p(\mathcal{M},\tau)\) when \(1\leq p\leq\infty\). Moreover, he discusses some application of these results to invariant subspaces for analytic crossed products and discusses the results for the Schatten \(p\)-class.
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    Beurling theorem
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    noncommutative Hardy spaces
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    noncommutative \(L^p\)-spaces
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    semifinite von Neumann algebra
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    invariant subspaces
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    Schatten \(p\)-classes
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