Skip to main content

Positive entropy implies infinite Lp-multiplicity for p>1

Part of the Lecture Notes in Mathematics book series (LNM,volume 1514)

Keywords

  • Positive Entropy
  • Bernoulli Shift
  • Ergodic Component
  • Span Simplicity
  • Ergodic Automorphism

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Iwanik, The problem of LP-simple spectrum for ergodic group automorphisms, Bull. Soc. Math. France, to appear

    Google Scholar 

  2. D. Ornstein, Ergodic Theory, Randomness, and Dynamical Systems, Yale Mathematical Monographs, 1974

    Google Scholar 

  3. Ya. Sinai, On a weak isomorphism of transformations with invariant measure (in Russian), Mat. Sbornik 63 (1964), 23–42

    MathSciNet  Google Scholar 

  4. A. Zygmund, Trigonometric Series I, Cambridge University Press 1959

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Iwanik, A. (1992). Positive entropy implies infinite Lp-multiplicity for p>1. In: Krengel, U., Richter, K., Warstat, V. (eds) Ergodic Theory and Related Topics III. Lecture Notes in Mathematics, vol 1514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097532

Download citation

  • DOI: https://doi.org/10.1007/BFb0097532

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55444-8

  • Online ISBN: 978-3-540-47076-2

  • eBook Packages: Springer Book Archive