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Proceedings of the American Mathematical Society

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Regular factorizations of contractions

Authors: Béla Sz.-Nagy and Ciprian Foiaş
Journal: Proc. Amer. Math. Soc. 43 (1974), 91-93
MSC: Primary 47A65
MathSciNet review: 0336411
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Abstract: Equivalent conditions are given for the regularity of a factorization of a contraction, two of which exhibit immediately the duality property of this notion.

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  • [1] Béla Sz.-Nagy and Ciprian Foiaș, Une caractérisation des sous-espaces invariants pour une contraction de l’espace de Hilbert, C. R. Acad. Sci. Paris 258 (1964), 3426–3429 (French). MR 0164238
  • [2] -, Analyse harmonique des opérateurs de l'espace de Hilbert, Masson, Paris; Akad. Kiadó, Budapest, 1967; English rev. transl., North-Holland, Amsterdam; American Elsevier, New York; Akad. Kiadó, Budapest, 1970. MR 37 #778; 43 #947.
  • [3] Ja. S. Svarcman, The invariant subspaces of a dissipative operator, and the divisors of its characteristic function, Funkcional. Anal. i Priložen. 4 (1970), no. 4, 85–86 (Russian). MR 0278100

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Keywords: Hilbert space, contraction, factorization, defect operators, dual factorization
Article copyright: © Copyright 1974 American Mathematical Society