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Banach space-valued Gleason measures on von Neumann algebras

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Probability Theory on Vector Spaces IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1391))

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References

  1. A. Bartoszewicz, S. Goldstein, On density function of vector-valued Gleason measure, Bull. Pol. Acad. Sci. Math. 28 (1980), 331–336.

    MathSciNet  MATH  Google Scholar 

  2. O. Bratelli, D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, Springer-Verlag, New York-Heidelberg-Berlin, 1979.

    Book  Google Scholar 

  3. E. Christensen. Measures on projections and physical states, Comm. Math. Phys. 86 (1982), 529–538.

    Article  MathSciNet  MATH  Google Scholar 

  4. S. Goldstein, Orthogonal Forms on von Neumann Algebras (in Polish), Acta Univ. Lodziensis, Łódź, 1987.

    Google Scholar 

  5. S. Goldstein, R. Jajte, Second-order fields over W*-algebras, Bull. Pol. Acad. Sci. Math. 30 (1982), 255–260.

    MathSciNet  MATH  Google Scholar 

  6. E. Hensz, Remarks on vector Gleason measures, Preprint, 1977.

    Google Scholar 

  7. R. Jajte, Gleason measures, Probabilistic Analysis and Related Topics, vol. 2; ed. A.T. Bharucha-Reid, Academic Press, New York-London 1979, 69–104.

    Chapter  Google Scholar 

  8. A. Paszkiewicz, Measures on projections in W*-factors, J. Funct. Anal. 62 (1985), 87–117.

    Article  MathSciNet  Google Scholar 

  9. S. Strătilă, L. Zsidó, Lectures on von Neumann Algebras, Abacus Press, Tunbridge Wells, Kent 1979.

    MATH  Google Scholar 

  10. M. Takesaki, Theory of Operator Algebras I, Springer-Verlag, New York-Heidelberg-Berlin, 1979.

    Book  MATH  Google Scholar 

  11. F.J. Yeadon, Measures on projections in W*-algebras of type II1, Bull. Lond. Math. Soc. 15 (1983), 139–145.

    Article  MathSciNet  MATH  Google Scholar 

  12. K. Ylinen, Vector measures on the projections of a W*-algebra, Ann. Univ. Turkuensis, Ser. AI 186 (1984), 129–135.

    MathSciNet  MATH  Google Scholar 

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Stamatis Cambanis Aleksander Weron

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© 1989 Springer-Verlag

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Łuczak, A. (1989). Banach space-valued Gleason measures on von Neumann algebras. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083391

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  • DOI: https://doi.org/10.1007/BFb0083391

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  • Print ISBN: 978-3-540-51548-7

  • Online ISBN: 978-3-540-48244-4

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