• [1] N. Bourbaki, Eléments de mathématique. XIII. Première partie: Les structures fondamentales de l’analyse. Livre VI: Intégration. Chapitre I: Inégalités de convexité. Chapitre II: Espaces de Riesz. Chapitre III: Mesures sur les espaces localement compacts. Chapitre IV: Prolongement d’une mesure; espaces 𝐿^{𝑝}, Actualités Sci. Ind., no. 1175, Hermann et Cie, Paris, 1952 (French). MR 0054691
• [2] J. Dieudonné On the Theorem of Lebesgue-Nikodym (III) (IV) and (V), Annates de l'Université de Grenoble vol. 23 (1948) pp. 25-53, J. Indian Math. Soc. vol. 15 (1951) pp. 77-86, and Canadian J. Mathematics (1951) p. 132, respectively.
• [3] J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Limited, London, 1953. MR 0058896
• [4] L. E. Dubins, Generalized random variables, Trans. Amer. Math. Soc. 84 (1957), 273–309. MR 0085326, https://doi.org/10.1090/S0002-9947-1957-0085326-5
• [5] Nelson Dunford, Uniformity in linear spaces, Trans. Amer. Math. Soc. 44 (1938), no. 2, 305–356. MR 1501971, https://doi.org/10.1090/S0002-9947-1938-1501971-X
• [6] Nelson Dunford and B. J. Pettis, Linear operations on summable functions, Trans. Amer. Math. Soc. 47 (1940), 323–392. MR 0002020, https://doi.org/10.1090/S0002-9947-1940-0002020-4
• [7] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. MR 0033869
• [8] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144
• [9] C. Kuratowski, Topologie I, Lwow, Warsaw, 1933.
• [10] B. J. Pettis, On integration in vector spaces, Trans. Amer. Math. Soc. 44 (1938), no. 2, 277–304. MR 1501970, https://doi.org/10.1090/S0002-9947-1938-1501970-8
• [11] I. E. Segal, Abstract probability spaces and a theorem of Kolmogoroff, Amer. J. Math. 76 (1954), 721–732. MR 0063602, https://doi.org/10.2307/2372714

Bibliography

[1]

N. Bourbaki, Integration, Paris, Herman et Cie, 1952. MR 0054691 (14:960h)

[2]

J. Dieudonné On the Theorem of Lebesgue-Nikodym (III) (IV) and (V), Annates de l'Université de Grenoble vol. 23 (1948) pp. 25-53, J. Indian Math. Soc. vol. 15 (1951) pp. 77-86, and Canadian J. Mathematics (1951) p. 132, respectively.

[3]

J. L. Doob, Stochastic processes, New York, John Wiley and Sons, 1953. MR 0058896 (15:445b)

[4]

L. E. Dubins, Generalized random variable, Trans. Amer. Math. Soc. vol. 87 (1957) pp. 273-309. MR 0085326 (19:21g)

[5]

N. Dunford, Uniformity in linear spaces, Trans. Amer. Math. Soc. vol. 44 (1938) pp. 305-356. MR 1501971

[6]

N. Dunford and B. J. Pettis, Linear operations on summable functions, Trans. Amer. Math. Soc. vol. 47 (1940) pp. 323-392. MR 0002020 (1:338b)

[7]

P. R. Halmos, Measure theory, New York, Van Nostrand, 1949. MR 0033869 (11:504d)

[8]

J. L. Kelley, General topology, New York, Van Nostrand, 1955. MR 0070144 (16:1136c)

[9]

C. Kuratowski, Topologie I, Lwow, Warsaw, 1933.

[10]

B. J. Pettis, On integration in vector spaces, Trans. Amer. Math. Soc. vol. 44 (1938) pp. 277-304. MR 1501970

[11]

I. E. Segal, Abstract probability spaces and a theorem of Kolmogoroff, Amer. J. Math. vol. 76 (1954) pp. 721-732. MR 0063602 (16:149d)