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
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