Decompositions of measure algebras and spaces

Decompositions of measure algebras and spaces
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by Dorothy Maharam PDF

Trans. Amer. Math. Soc. 69 (1950), 142-160 Request permission

References

Warren Ambrose, Paul R. Halmos, and Shizuo Kakutani, The decomposition of measures. II, Duke Math. J. 9 (1942), 43–47. MR 5801
Warren Ambrose and Shizuo Kakutani, Structure and continuity of measurable flows, Duke Math. J. 9 (1942), 25–42. MR 5800
Jean Dieudonné, Sur le théorème de Lebesgue-Nikodym. III, Ann. Univ. Grenoble. Sect. Sci. Math. Phys. (N.S.) 23 (1948), 25–53 (French). MR 0028924
Paul R. Halmos, The decomposition of measures, Duke Math. J. 8 (1941), 386–392. MR 4718
Paul R. Halmos, On a theorem of Dieudonné, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 38–42. MR 27832, DOI 10.1073/pnas.35.1.38
Paul R. Halmos and John von Neumann, Operator methods in classical mechanics. II, Ann. of Math. (2) 43 (1942), 332–350. MR 6617, DOI 10.2307/1968872
Dorothy Maharam, On measure in abstract sets, Trans. Amer. Math. Soc. 51 (1942), 413–433. MR 6594, DOI 10.1090/S0002-9947-1942-0006594-0
Dorothy Maharam, The representation of abstract measure functions, Trans. Amer. Math. Soc. 65 (1949), 279–330. MR 28923, DOI 10.1090/S0002-9947-1949-0028923-0
Otton Martin Nikodým, Tribus de Boole et fonctions mesurables. Transformations équimesurables, C. R. Acad. Sci. Paris 228 (1949), 150–151 (French). MR 27834
J. von Neumann, Zur Operatorenmethode in der klassischen Mechanik, Ann. of Math. (2) 33 (1932), no. 3, 587–642 (German). MR 1503078, DOI 10.2307/1968537

Theory of the integral