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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Regular factorizations of contractions
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by Béla Sz.-Nagy and Ciprian Foiaş PDF
Proc. Amer. Math. Soc. 43 (1974), 91-93 Request permission

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.
References
  • Béla Sz.-Nagy and Ciprian Foiaş, 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 164238
  • —, 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.
  • 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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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 91-93
  • MSC: Primary 47A65
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0336411-7
  • MathSciNet review: 0336411