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\((\pm{})\)-regular factorization and the best minorant (Q1814355)

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scientific article; zbMATH DE number 10690
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English
\((\pm{})\)-regular factorization and the best minorant
scientific article; zbMATH DE number 10690

    Statements

    \((\pm{})\)-regular factorization and the best minorant (English)
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    25 June 1992
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    The author considers factorizations \(\theta(z)=\theta_2(z)\theta_1(z)\) of operator-valued holomorphic functions on the unit circle \(| z|<1\), according to \textit{B. Sz.-Nagy} and \textit{C. Foias} [Analyse harmonique des opérateurs de l'espace de Hilbert. Budapest: Akadémiaí Kiadó (1967; Zbl 0157.43201)], equipped with special properties \(((\pm)\)-regular factorizations). He presents criteria for these properties.
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    factorizations
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    operator-valued holomorphic functions on the unit circle
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