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Apostol’s bilateral weighted shifts are hyper-reflexive

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Recent Advances in Operator Theory and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 127))

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Abstract

C. Apostol showed in 1984 that when a weight ω on ℤ has sufficiently “irregular” behavior then the shift operator S on ℓ 2ω (ℤ) has nontrivial hyperinvariant subspaces.

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References

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Author information

Authors and Affiliations

  1. Laboratoire de Mathematiques Pures, Upresa 5467, Universite Bordeaux 1, 351, Cours de la Liberation, 33405, Talence Cedex, France

    Jean Esterle

Authors
  1. Jean Esterle
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Editor information

Editors and Affiliations

  1. University of Szeged, Aradi Vértanuúk Tere 1, 6720, Szeged, Hungary

    László Kérchy

  2. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    I. Gohberg

  3. Department of Mathematics, Indiana University, Bloomington, IN, 47405-4301, USA

    Ciprian I. Foias

  4. Mathematik, Technische Universität Wien, Wiedner Hauptstrasse 8-10/1411, 1040, Wien, Austria

    H. Langer

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© 2001 Springer Basel AG

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Esterle, J. (2001). Apostol’s bilateral weighted shifts are hyper-reflexive. In: Kérchy, L., Gohberg, I., Foias, C.I., Langer, H. (eds) Recent Advances in Operator Theory and Related Topics. Operator Theory: Advances and Applications, vol 127. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8374-0_13

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  • DOI: https://doi.org/10.1007/978-3-0348-8374-0_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9539-2

  • Online ISBN: 978-3-0348-8374-0

  • eBook Packages: Springer Book Archive

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