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A local ergodic theorem. (English) Zbl 0165.37402


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[1] Dunford, N., and J. T. Schwartz: Convergence almost everywhere of operator averages. J. Rational Mech. and Anal.5, 129-178 (1956). · Zbl 0075.12102
[2] Garsia, A. J.: A simple proof of E. Hopf’s maximal ergodic theorem. J. Math. Mech.14, 381-382 (1965). · Zbl 0178.38601
[3] Krengel, U.: Darstellungssätze für Strömungen und Halbströmungen II. Math. Ann., to appear. · Zbl 0167.32801
[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. · Zbl 0186.49802
[5] Royden, H. L.: Real analysis. New York: Macmillan 1963. · Zbl 0121.05501
[6] Wiener, N.: The ergodic theorem. Duke Math. J.5, 1-18 (1939). · JFM 65.0516.04
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