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Asymptotic formula for normal operators in non-commutative L2-spaces

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Quantum Probability and Applications IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1396))

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References

  1. Alexits G., Convergence problems of orthogonal series, Pergamon Press, New York-Oxford-Paris 1961.

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  2. Bratteli, O. & Robinson, D.W., Operator algebras and quantum statistical mechanics I & II, Springer, New York-Heidelberg-Berlin 1979.

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  3. Gaposhkin, W.I., Individual ergodic theorem for normal operators in L2, Funkt. Anal. Priloz 15 (1981), 18–22.

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  4. Hensz, E. & Jajte, R., Pointwise convergence theorems in L2 over a von Neumann algebra, M.Z. 193 (1986), 413–429.

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  5. Jajte, R., Strong limit theorems in non-commutative probability, Lect. Notes in Math. No 1110, Springer, Berlin-Heidelberg-New York 1985.

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  6. Jajte, R., On the existence of the ergodic Hilbert transform, Ann. Probab. 15 (1987), 831–835.

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  7. Takesaki, M., Theory of operator algebras I, Springer, Berlin-Heidelberg-New York 1979.

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Author notes

  1. R. Jajte

    Present address: Institute of Mathematics, University of Łódź, 22 Banacha, 90-238, Łódź, Poland

Authors and Affiliations

  1. Department of Mathematics, University of Tennessee, 37996, Knoxville, TN, U.S.A.

    R. Jajte

Authors
  1. R. Jajte
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Luigi Accardi Wilhelm von Waldenfels

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© 1989 Springer-Verlag

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Jajte, R. (1989). Asymptotic formula for normal operators in non-commutative L2-spaces. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications IV. Lecture Notes in Mathematics, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083557

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  • DOI: https://doi.org/10.1007/BFb0083557

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51613-2

  • Online ISBN: 978-3-540-46713-7

  • eBook Packages: Springer Book Archive

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