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Quantum Probability and Applications V pp 204–210Cite as

A method of operator estimation and a strong law of large numbers in von Neumann algkbras

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1442))

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References

  1. M.S. Goldstein, Theorems in almost everywhere convergence in von Neumann algebras (in Russian), J. Oper. Theory 6 (1981), 233–311.

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  2. E. Hensz, Orthogonal series and strong laws of large numbers in von Neumann algebras, to appear in Proc. Rome II Quantum Probability Symposium, Lecture Notes in Math., Springer-Verlag.

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  3. E. Hensz, The Cesaro means and strong laws of large numbers for orthogonal sequences in von Neumann algebras, to appear.

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  4. R. Jajte, Strong limit theorems for orthogonal sequences in von Neumann algebras, Proc. AMS, vol. 94, No. 2, (1985), 229–236.

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  5. R. Jajte, Strong limit theorems in non-commutative probability, Lecture Notes in Math., vol. 1110, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1985.

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  6. F. Moricz, K. Tandori, Counterexamples in the theory of orthogonal series, Acta Math. Hung. 49, 1–2, 1987, 283–290.

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  7. P. Révész, The laws of large numbers, Akadémiai Kiado, Budapest, 1967.

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Authors and Affiliations

  1. Institute of Mathematics, University of Łódź, ul. S. Banacha 22, 90-238, Łódź, Poland

    Ewa Hensz

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  1. Ewa Hensz
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Luigi Accardi Wilhelm von Waldenfels

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© 1990 Springer-Verlag

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Hensz, E. (1990). A method of operator estimation and a strong law of large numbers in von Neumann algkbras. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications V. Lecture Notes in Mathematics, vol 1442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085512

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  • DOI: https://doi.org/10.1007/BFb0085512

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53026-8

  • Online ISBN: 978-3-540-46311-5

  • eBook Packages: Springer Book Archive

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