Skip to main content
SpringerLink
Log in

A local ergodic theorem

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Dunford, N., and J. T. Schwartz: Convergence almost everywhere of operator averages. J. Rational Mech. and Anal.5, 129–178 (1956).

    Google Scholar 

  2. Garsia, A. J.: A simple proof of E. Hopf's maximal ergodic theorem. J. Math. Mech.14, 381–382 (1965).

    Google Scholar 

  3. Krengel, U.: Darstellungssätze für Strömungen und Halbströmungen II. Math. Ann., to appear.

  4. Krengel, U. A necessary and sufficient condition for the validity of the local ergodic theorem. Talk at the Colloqu. on Probability and Information Theory, McMaster Univ., Hamilton, April 4–5 (1968), to appear in the proceedings of the colloquium.

  5. Royden, H. L.: Real analysis. New York: Macmillan 1963.

    Google Scholar 

  6. Wiener, N.: The ergodic theorem. Duke Math. J.5, 1–18 (1939).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 231 W. 18th Avenue, 43210, Columbus, Ohio, USA

    Ulrich Krengel

Authors
  1. Ulrich Krengel
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported by the National Science Foundation, Grant GP-9354.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krengel, U. A local ergodic theorem. Invent Math 6, 329–333 (1969). https://doi.org/10.1007/BF01425423

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01425423

Keywords

Search

Navigation