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Cauchy convergent sequences of regular measures with values in a topological group. (English) Zbl 0223.60002


MSC:

60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
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[1] ?ech, E.: Topological spaces. London-New York-Sydney: Interscience Publishers 1966. · Zbl 0141.39401
[2] Dieudonné, J.: Sur la convergence des suites de mesures de Radon. Anais. Acad. Brasil. Ci. 23, 21-38, 277-283 (1951). · Zbl 0043.11202
[3] GÄn\(\backslash\)ler, P.: Compactness and sequential compactness in spaces of measures. Z. Wahrscheinlich-keitstheorie verw. Geb. 17, 124-146 (1971). · Zbl 0202.04904 · doi:10.1007/BF00538864
[4] Gould, G. G.: Integration over vector-valued measures. Proc. London math. Soc. 15, III. Ser., 193-225 (1965). · Zbl 0138.38403 · doi:10.1112/plms/s3-15.1.193
[5] Grothendieck, A.: Sur les applications linéaires faiblement compactes d’espaces du type C(K). Canadian J. Math. 129-173 (1953). · Zbl 0050.10902
[6] Halmos, P. R.: Measure theory. Princeton: Van Nostrand 1964.
[7] Kelley, J. L.: General topology. Princeton: Van Nostrand 1963. · Zbl 0157.53002
[8] Landers, D., Rogge, L.: The Hahn-Vitali-Saks and the uniform boundedness theorem in topological groups. Manuscripta math. 4, 351-359 (1971). · Zbl 0217.14902 · doi:10.1007/BF01168702
[9] Pfanzagl, J.: Convergent sequences of regular measures. Manuscripta math. 4, 91-98 (1971). · Zbl 0202.33602 · doi:10.1007/BF01168906
[10] TopsØe, F.: Compactness in spaces of measures. Studia math. 36, 195-212 (1970). · Zbl 0201.06202
[11] Wells, B. B., Jr.: Weak compactness of measures. Proc. Amer. math. Soc. 20, 124-134 (1969). · Zbl 0165.37501 · doi:10.1090/S0002-9939-1969-0238067-9
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