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Kaplan, S.

The second dual of the space of continuous functions. IV. (English) Zbl 0126.12002

Trans. Am. Math. Soc. 113, 512-546 (1964).
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Cited in 8 Documents

Keywords:

functional analysis
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References:

[1] N. Bourbaki, Integration, Hermann, Paris, 1952; Chapters I-IV.
[2] R. P. Dilworth, The normal completion of the lattice of continuous functions, Trans. Amer. Math. Soc. 68 (1950), 427 – 438. · Zbl 0037.20205
[3] J. Dixmier, Sur certains espaces considérés par M. H. Stone, Summa Brasil. Math. 2 (1951), 151 – 182 (French). · Zbl 0045.38002
[4] Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. · Zbl 0093.30001
[5] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. · Zbl 0040.16802
[6] Samuel Kaplan, On the second dual of the space of continuous functions, Trans. Amer. Math. Soc. 86 (1957), 70 – 90. · Zbl 0081.10903
[7] Samuel Kaplan, The second dual of the space of continuous functions. II, Trans. Amer. Math. Soc. 93 (1959), 329 – 350. · Zbl 0091.10403
[8] Samuel Kaplan, The second dual of the space of continuous functions. III, Trans. Amer. Math. Soc. 101 (1961), 34 – 51. · Zbl 0115.32904
[9] C. Kuratowski, Topologie, Vol. 1, 4th ed., Warsaw, 1958. · Zbl 0078.14603
[10] L. H. Loomis, The spectral characterization of a class of almost periodic functions., Ann. of Math. (2) 72 (1960), 362 – 368. · Zbl 0094.05801 · doi:10.2307/1970139
[11] Hidegorô Nakano, Über das System aller stetigen Funktionen auf einem topologischen Raum, Proc. Imp. Acad. Tokyo 17 (1941), 308 – 310 (German). · Zbl 0060.26508
[12] Hidegorô Nakano, Stetige lineare Funktionale auf dem teilweisegeordneten Modul, J. Fac. Sci. Imp. Univ. Tokyo. Sect. I. 4 (1942), 201 – 382 (German). · Zbl 0060.26506
[13] M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375 – 481. · Zbl 0017.13502
[14] M. H. Stone, Boundedness properties in function-lattices, Canadian J. Math. 1 (1949), 176 – 186. · Zbl 0032.16901
[15] Roman Sikorski, Boolean algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Heft 25, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. · Zbl 0087.02503
[16] M. H. Stone, Notes on integration. I, Proc. Nat. Acad. Sci. U. S. A. 34 (1948), 336 – 342. · Zbl 0031.01402
[17] G. Birkhoff, Latice theory, Amer. Math. Soc. Colloq. Publ. Vol. 25, Amer. Math. Soc., Providence, R. I., 1948.
[18] E. Szpilrajn, Remarques sur les fonctions complètement additives d’ensembles, Fund. Math. 22 (1934), 307-311. · JFM 60.0037.04
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