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Abstract

In this paper the investigation of invariant subspace lattices of c11-contractions, begun in [8] and [9], is continued. Special emphasis is put on the behaviour of hyperinvariant subspaces under quasi-similarity. Moreover, a negative answer is given to a problem of Sz.-Nagy and Foiaş.

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References

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© 1984 Springer Basel AG

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Kérchy, L. (1984). Subspace Lattices Connected with C11-Contractions. In: Butzer, P.L., Stens, R.L., Sz.-Nagy, B. (eds) Anniversary Volume on Approximation Theory and Functional Analysis. ISNM 65: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 65. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5432-0_9

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  • DOI: https://doi.org/10.1007/978-3-0348-5432-0_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5434-4

  • Online ISBN: 978-3-0348-5432-0

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