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References
Dunford, N., Schwartz, J. T.: Linear operators (part I). New York: Interscience 1958.
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I should like to thank Dr. David Williams for much helpful discussion as well as for the counter-example, and Dr. F. Papangelou for pointing out the relevance of the theorem of Banach used in the proof. I should also like to thank Prof. R. Pyke for the proof (considerably shorter than my original one) of Lemma 4 given above.
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Basterfield, J.G. Independent conditional expectations and ™ log ™. Z. Wahrscheinlichkeitstheorie verw Gebiete 21, 233–240 (1972). https://doi.org/10.1007/BF00538397
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DOI: https://doi.org/10.1007/BF00538397