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Transactions of the American Mathematical Society

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The order dual of the space of Radon measures


Author: John Mack
Journal: Trans. Amer. Math. Soc. 113 (1964), 219-239
MSC: Primary 46.25
DOI: https://doi.org/10.1090/S0002-9947-1964-0169042-0
MathSciNet review: 0169042
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  • [1] A. S. Besicovitch, Concentrated and rarified sets of points, Acta Math. 62 (1934), 289-300. MR 1555386
  • [2] G. Birkhoff, Lattice theory, rev. ed., Amer. Math. Soc. Colloq. Publ. Vol. 25, Amer. Math. Soc., Providence, R. I., 1948. MR 0029876 (10:673a)
  • [3] N. Bourbaki, Integration, Hermann, Paris, 1952; Chapters I-IV.
  • [4] -, Integration, Hermann, Paris, 1956; Chapter V.
  • [5] J. Dieudonné, Sur le théorème de Lebesgue-Nikodym, Ann. of Math. (2) 42 (1941), 547-556. MR 0004719 (3:50f)
  • [6] -, Sur le théorème de Lebesgue-Nikodym. II, Bull. Soc. Math. France 72 (1944), 193-240. MR 0014580 (7:305c)
  • [7] C. H. Dowker, On countably paracompact spaces, Canad. J. Math. 3 (1951), 219-224. MR 0043446 (13:264c)
  • [8] L. Gillman and M. Jerison, Rings of continuous functions, Van Nostrand, Princeton, N.J., 1960. MR 0116199 (22:6994)
  • [9] J. G. Horne, Jr., Countable paracompactness and cb-spaces, Abstract 561-2, Notices Amer. Math. Soc. 6 (1959), 629-630.
  • [10] P. R. Halmos, Measure theory, Van Nostrand, New York, 1950. MR 0033869 (11:504d)
  • [11] E. Hewitt, Linear functionals on spaces of continuous functions, Fund. Math. 37 (1950), 161-189. MR 0042684 (13:147g)
  • [12] S. Kakutani, Concrete representation of abstract (L)-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523-537. MR 0004095 (2:318d)
  • [13] -, <#80#>Concrete representation of abstract M)-spaces, Ann. of Math. (2) 42 (1941), 994-1028. MR 0005778 (3:205g)
  • [14] S. Kaplan, On the second dual of the space of continuous functions, Trans. Amer. Math. Soc. 86 (1957), 70-90. MR 0090774 (19:868c)
  • [15] -, The second dual of the space of continuous functions. II, Trans. Amer. Math. Soc. 93 (1959), 329-350. MR 0112030 (22:2888)
  • [16] -, The second dual of the space of continuous functions. III, Trans. Amer. Math. Soc. 101 (1961), 34-51. MR 0131750 (24:A1598)
  • [17] G. W. Mackey, Equivalence of a problem in measure theory to a problem in the theory of vector lattices, Bull. Amer. Math. Soc. 50 (1944), 719-722. MR 0010782 (6:70b)
  • [18] I. Namioka, Partially ordered linear topological spaces, Mem. Amer. Math. Soc. No. 24 (1957), 50 pp. MR 0094681 (20:1193)

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DOI: https://doi.org/10.1090/S0002-9947-1964-0169042-0
Article copyright: © Copyright 1964 American Mathematical Society

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