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Abstract

By “shift” we mean a unilateral shift operator, simple or multiple, on a separable complex Hilbert space.

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References

  1. Sz.-Nagy, B. — Foiaş, C, Harmonic Analysis of Operators on Hilbert Space. North-Holland Publishing Co., Amsterdam, Akadémiai Kiadô, Budapest 1970.

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  2. Sz.-Nagy, B. — Foiaş, C., Vecteurs cycliques et quasiaffinités. Studia Math. 31 (1960), 35–42.

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  3. Halmos, P.R., A Hilbert Space Problem Book. Van Nostrand, Princeton 1967.

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  4. Sherman, M.J., Invariant subspacescontaining all analytic directions. J. Functional Analysis 3. (1969), 164–172.

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© 1974 Springer Basel AG

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Sz.-Nagy, B., Foiaş, C. (1974). Injection of Shifts Into Strict Contractions. In: Butzer, P.L., Szőkefalvi-Nagy, B. (eds) Linear Operators and Approximation II / Lineare Operatoren und Approximation II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 25. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5991-2_3

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  • DOI: https://doi.org/10.1007/978-3-0348-5991-2_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5992-9

  • Online ISBN: 978-3-0348-5991-2

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