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Some measure theoretic implications for the Pettis integral

Non-Scalar-Valued Measures And Integrals

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1089)

Keywords

  • Banach Space
  • Measurable Function
  • Convex Hull
  • Decomposition Theorem
  • Compact Hausdorff Space

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References

  1. A. Bellow, Mesures de Radon et espaces relevments compacts, C. R. Acad. Sci. Paris, Ser. A 289 (1979), 621–624.

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  2. J. Diestel and J. Uhl, Vector Measures, Math. Surveys, Vol. 15, Amer. Math. Soc., Providence, RI, 1977.

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  3. D. Sentilles, Decomposition of weakly measurable functions, Indiana Univ. Math. J., 32 #3 (1983), 425–437.

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  5. _____, Stonian integration of vector functions, Proc. Conf. on Measure Theory and Appl., Northern Illinois University (1981), 123–135.

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  6. _____, Pettis integration via the Stonian Transform, Pacific J. Math. 107, #2 (1983), 473–496.

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  7. M. Talagrand, Measure theory and the Pettis integral, in press.

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© 1984 Springer-Verlag

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Sentilles, D. (1984). Some measure theoretic implications for the Pettis integral. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1983. Lecture Notes in Mathematics, vol 1089. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072612

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  • DOI: https://doi.org/10.1007/BFb0072612

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13874-7

  • Online ISBN: 978-3-540-39069-5

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