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Zur Existenz projektiver Limites von Vektormaßen. (German) Zbl 0292.28005


MSC:

28B05 Vector-valued set functions, measures and integrals
28A35 Measures and integrals in product spaces
46G10 Vector-valued measures and integration
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References:

[1] Blackwell, D.: On a Class of Probability Spaces. Proc. Third Berkeley Symp.Math.Stat.Prob.II (1953), 1-6. · Zbl 0052.14104
[2] Dehen, M.: Mesures de Radon vectorielles sur des espaces topologiques séparés. C.r.Acad.Sc.Paris, t 268 (1969), 1339-1341. · Zbl 0176.11901
[3] Dinculeanu, N. und Kluvánek, I.: On Vector Measures. Proc.London Math.Soc. (3)17 (1967), 505-512. · Zbl 0195.34002 · doi:10.1112/plms/s3-17.3.505
[4] Ionescu Tulcea, A. und Ionescu Tulcea, C.: Abstract Ergodic Theorems. Trans.Am.Math.Soc.107 (1963), 107-124. · Zbl 0119.32701 · doi:10.2307/1993870
[5] Kakutani, S.: Notes on Infinite Product Measure Spaces. Proc.Imp.Acad.Tokyo19 (1943), 184-188. · Zbl 0061.09701 · doi:10.3792/pia/1195573582
[6] Kappos, D.A.: Strukturtheorie der Wahrschei nlichkeitsfelder und -räume. Springer, Berlin 1960. · Zbl 0092.33201
[7] Kolmogorov, A.N.: Grundbegriffe der Wahrscheinlichkeitstheorie. Springer, Berlin 1933. · JFM 59.1154.01
[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. · Zbl 0115.26802
[10] Oppel, U.: Eine Charakterisierung Lusinscher und Suslinscher Räume und ihre Anwendung auf die Theorie der Vektormaße auf Suslinschen Räumen. Habilschrift, München 1974. · Zbl 0307.28012
[11] Parthasarathy, K.R.: Probability Measures on Metric Spaces. Academic Press, New York 1967. · Zbl 0153.19101
[12] Pfanzagl, J. und Pierlo, W.: Compact Systems of Sets. Springer, Berlin 1966. · Zbl 0161.36604
[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. · Zbl 0181.43301
[14] Topsøe, F.: Measure Spaces Connected by Correspondences. Oberwolfach, 1971. · Zbl 0241.28010
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