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Tauberian ergodic theorem for normal contraction operators

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Literature cited

  1. D. L. Burkholder and Y. S. Chen, “Iterates of conditional expectation operators,” Proc. Am. Math. Soc.,12, No. 3, 490–495 (1961).

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  2. V. F. Gaposhkin, “On an individual ergodic theorem for normal operators in L2,” Funkts. Anal. Prilozhen.,15 No. 1, 18–22 (1981).

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  3. V. F. Gaposhkin, “A theorem on convergence almost everywhere of a sequence of measurable functions, and applications to sequences of stochastic integrals,” Mat. Sb.,104, No. 1, 3–21 (1977).

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  4. G. Alexits, Convergence Problems of Orthogonal Series, Pergamon Press, Oxford (1962).

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Authors and Affiliations

  1. Institute of Transport Engineers, Moscow

    V. F. Gaposhkin

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  1. V. F. Gaposhkin
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Translated from Matematicheskie Zametki, Vol. 35, No. 3, pp. 397–404, March, 1984.

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Gaposhkin, V.F. Tauberian ergodic theorem for normal contraction operators. Mathematical Notes of the Academy of Sciences of the USSR 35, 208–212 (1984). https://doi.org/10.1007/BF01139918

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  • DOI: https://doi.org/10.1007/BF01139918

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