References
D. Bierlein, Über die Fortsetzung von Wahrscheinlichkeitsfeldern. Z. Wahrsch. verw. Gebiete1, 28–46 (1962).
D. Bierlein, Measure extensions and measurable neighbours of a function. LNM794, 1–23, Berlin 1980.
R. G. Douglas, On extremal measures and subspace density. Michigan Math. J.11, 243–246 (1964).
G. A. Edgar, Measurable weak sections. Illinois J. Math.20, 630–646 (1976).
M. P.Ersov, On some principal problems in the theory of stochastic equations. Institutsbericht Nr.161 (1980), Johannes Kepler Universität Linz.
S. Graf, Inducedσ-homomorphisms and a parametrization of measurable sections via extremal preimage measures. Math. Ann.247, 67–80 (1980).
M. Kern, R. Nagel andG. Palm, Dilations of positive operators: Construction and Ergodic Theory. Math. Z.156, 265–277 (1977).
J. Lehn, Maßfortsetzungen und Aumann's Selektionstheorem. Z. Wahrsch. verw. Gebiete35, 265–268 (1976).
D. Plachky, Extremal and monogenic additive set functions. Proc. Amer. Math. Soc.54, 193–196 (1976).
W.Stich, Über Maßfortsetzungsprobleme und einen Zusammenhang mit stochastischen Gleichungen. Transactions of the Ninth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, 197–204 (1983).
B. Sz.-Nagy and C.Foias, Harmonic Analysis of Operators on Hilbert Spaces. Amsterdam 1970.
S. Ulam, Zur Maßtheorie in der allgemeinen Mengenlehre. Fund. Math.16, 140–150 (1930).
H. v. Weizsäcker, Remark on Extremal Measure Extensions. LNM794, 79–80, Berlin 1980.
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Hackenbroch, W. Dilated sections and extremal preimage measures. Arch. Math 43, 434–439 (1984). https://doi.org/10.1007/BF01193852
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DOI: https://doi.org/10.1007/BF01193852