Regular factorizations of contractions
Authors:
Béla Sz.-Nagy and Ciprian Foiaş
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
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Abstract | References | Similar Articles | Additional Information
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.
- [1] 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
- [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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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0336411-7
Keywords:
Hilbert space,
contraction,
factorization,
defect operators,
dual factorization
Article copyright:
© Copyright 1974
American Mathematical Society
