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Zur existenz projektiver Limites von Vektormassen

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Abstract

We give a generally applicable method of proof for the existence of a projective limit of a projective system of vector measures. This method works by reducing the general case to the case of measures on compact spaces.

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Literatur

  1. Blackwell, D.: On a Class of Probability Spaces. Proc. Third Berkeley Symp.Math.Stat.Prob.II (1953), 1–6.

  2. Dehen, M.: Mesures de Radon vectorielles sur des espaces topologiques séparés. C.r.Acad.Sc.Paris, t 268 (1969), 1339–1341.

    Google Scholar 

  3. Dinculeanu, N. und Kluvánek, I.: On Vector Measures. Proc.London Math.Soc. (3)17 (1967), 505–512.

    Google Scholar 

  4. Ionescu Tulcea, A. und Ionescu Tulcea, C.: Abstract Ergodic Theorems. Trans.Am.Math.Soc.107 (1963), 107–124.

    Google Scholar 

  5. Kakutani, S.: Notes on Infinite Product Measure Spaces. Proc.Imp.Acad.Tokyo19 (1943), 184–188.

    Google Scholar 

  6. Kappos, D.A.: Strukturtheorie der Wahrschei nlichkeitsfelder und -räume. Springer, Berlin 1960.

    Google Scholar 

  7. Kolmogorov, A.N.: Grundbegriffe der Wahrscheinlichkeitstheorie. Springer, Berlin 1933.

    Google Scholar 

  8. Kluvánek, I.: The Extension and Closure of Vector Measure. Proc.Conf.Vec.Meas.,Snowbird,Utah 1973.

  9. Métivier, M.: Sur les mesures à valeurs vectorielles et les limites projectives de telles mesures. C.r. Acad.Sc.Paris, t 256 (1963), 2993–2995.

    Google Scholar 

  10. Oppel, U.: Eine Charakterisierung Lusinscher und Suslinscher Räume und ihre Anwendung auf die Theorie der Vektormaße auf Suslinschen Räumen. Habilschrift, München 1974.

    Google Scholar 

  11. Parthasarathy, K.R.: Probability Measures on Metric Spaces. Academic Press, New York 1967.

    Google Scholar 

  12. Pfanzagl, J. und Pierlo, W.: Compact Systems of Sets. Springer, Berlin 1966.

    Google Scholar 

  13. Scheffer, C.: Sur l'existence de la limite projective dans la catégorie des espaces de probabilité tendus. C.r.Acad.Sc.Paris, t 269 (1969), 205–207.

    Google Scholar 

  14. Topsøe, F.: Measure Spaces Connected by Correspondences. Oberwolfach, 1971.

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Oppel, U. Zur existenz projektiver Limites von Vektormassen. Manuscripta Math 13, 27–35 (1974). https://doi.org/10.1007/BF01168740

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  • DOI: https://doi.org/10.1007/BF01168740

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