Orthogonal series and strong laws of large numbers in von neumann algebras

  • Ewa Hensz
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1396)


Positive Operator Ergodic Theorem Orthogonal Series Warm Hospitality Faithful State 
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  1. [1]
    Goldstein M.S., Theorems in almost everywhere convergence in von Neumann algebras, (in Russian) J. Oper. Theory 6 (1987), 233–311.MathSciNetGoogle Scholar
  2. [2]
    Jajte R., Strong limit theorems in non-commutative probability, Lecture Notes in Math., vol. 1110, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1985.zbMATHGoogle Scholar
  3. [3]
    Jajte R., Strong limit theorems for orthogonal sequence in von Neumann algebras, Proc. AMS, vol. 94, No 2, (1985), 229–236.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Kaczmarz S., Steinhaus H., Theorie der Orthogonalreihen, Mon. Mat. t. 4, Warszawa-Lwów, 1935.Google Scholar
  5. [5]
    Menchoff D., Sur les séries de fonctions orthogonales, Fund. Math. IV, (1923), 82–105.zbMATHGoogle Scholar
  6. [6]
    Moricz F., Tandori K., Counterexamples in the theory of orthogonal series, Acta Math. Hung. 49, 1–2, 1987, 283–290.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    Petz D., Zemánek J., Characterizations of the trace, preprint, 1987.Google Scholar
  8. [8]
    Rademacher H., Einige Sätze über Reihen von Allgemeinen Orthogonalfunktionen, Math. Annalen, 87, (1922), 112–138.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Ewa Hensz
    • 1
  1. 1.Institute of MathematicsUniversity of ŁódźŁódźPoland

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