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The general marginal problem

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References

  1. I. Ameniya, S. Okada and Y. Okazaki, Pre-Radon measures on topological spaces, Kodai Math. J. 1 (1978), p. 101–132.

    Article  MathSciNet  MATH  Google Scholar 

  2. C. Dellacherie and P.-A. Meyer, Probability and Potentials, North Holland, Amsterdam 1978.

    Google Scholar 

  3. R.M. Dudley, Probability and metrics, Mat. Inst., Aarhus Univ., Lecture Notes Series No. 45. 1976.

    Google Scholar 

  4. N. Dunford and J.T. Schwartz, Linear operators I, Interscience Publishers Inc. 1958, New York.

    MATH  Google Scholar 

  5. R. Engelking, General Topology, PWN, Warszawa, 1977.

    MATH  Google Scholar 

  6. J. Hoffmann-Jørgensen, How to make a divergent sequence convergent by Martin's exiom, Matematisk Institut, Aarhus Universitet, Preprint Series 1977/78, No. 21.

    Google Scholar 

  7. J. Hoffmann-Jørgensen, Existence of conditional probabilities, Math. Scand. 28 (1971), p. 257–265.

    MathSciNet  MATH  Google Scholar 

  8. J. Hoffmann-Jørgensen, A general "in between theorem", Math. Scand., 50 (1982), p. 55–65.

    MathSciNet  MATH  Google Scholar 

  9. J. Hoffmann-Jørgensen, Weak compactness and tightness of subsets of M(X), Math. Scand. 31 (1972), p. 127–150.

    MathSciNet  MATH  Google Scholar 

  10. H.G. Kellerer, Duality theorems for marginal problems, Preprint, Dept. of Math., Univ. of Munich (1984).

    Google Scholar 

  11. G. Köthe, Topological vector spaces I, Springer Verlag 1969, GMW 159.

    Google Scholar 

  12. E. Marczewski, On compact measures, Fund. Math. 40 (1953).

    Google Scholar 

  13. I. Mitoma, S. Okada and Y. Okazaki, Cylindrical σ-algebra and cylindrical measure, Osaka J. Math. 14 (1977), 635–647.

    MathSciNet  MATH  Google Scholar 

  14. K. Musial, Projective limits of perfect measures, Fund. Math. 110 (1980), p. 163–189.

    MathSciNet  MATH  Google Scholar 

  15. K. Musial, Inheritness of compactness and perfectness of measures by thick subsets, Proc. Conf. on Measure Theory 1975, Springer Verlag 1976, LNS 541, p. 31–42.

    Google Scholar 

  16. J.K. Pachl, Disintegration and compact measures, Math. Scand. 43 (1978), p. 157–168.

    MathSciNet  MATH  Google Scholar 

  17. J.K. Pachl, Two classes of measures, Coll. Math. 52 (1979), p. 331–340.

    MathSciNet  MATH  Google Scholar 

  18. D. Pollard and F. Topsøe, A unified approach to Riesz type representation theorems, Stud. Math. 54 (1975).

    Google Scholar 

  19. P. Ressel, Some continuity and measurability results on spaces of measures, Math. Scand. 40 (1977), p. 69–78.

    MathSciNet  MATH  Google Scholar 

  20. C.A. Rogers et al., Analytic sets, Academic Press, London 1980.

    Google Scholar 

  21. C. Ryll-Nardzewski, On quasi-compact measures, Fund. Math. 40 (1953), p. 125–130.

    MathSciNet  MATH  Google Scholar 

  22. V. Strassen, The existence of measure with given marginals, Ann. Math. Stat. 36 (1965), p. 423–439.

    Article  MathSciNet  MATH  Google Scholar 

  23. M. Talagrand, Pettis integral and measury theory, Mem. Amer. Math. Soc. 1984, vol. 51 No 307.

    Google Scholar 

  24. F. Topsøe, Approximating pavings and constructions of measures, Coll. Math. 52 (1974), p. 377–385.

    MATH  Google Scholar 

  25. F. Topsøe, Topology and measure, Springer Verlag 1979, LNS 133.

    Google Scholar 

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Authors

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Davor Butković Svetozar Kurepa Hrvoje Kraljević

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© 1987 Springer-Verlag

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Hoffmann-Jørgensen, J. (1987). The general marginal problem. In: Butković, D., Kurepa, S., Kraljević, H. (eds) Functional Analysis II. Lecture Notes in Mathematics, vol 1242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072443

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  • DOI: https://doi.org/10.1007/BFb0072443

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  • Print ISBN: 978-3-540-17833-0

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