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1.Adamski, W.: Beiträge zur topologischen Maβtheorie. Dissertation, Bochum, 1973
Dieudonné, J.: Sur la convergence des suites de mesures de Radon. Anais Acad. Brasil. Ci.23, 21–28, 277–282 (1951)
Dunford, N., Schwartz, J.T.: Linear operators, Part I. New York: Interscience Publishers 1958
Gaenssler, P.: Compactness and sequential compactness in spaces of measures. Z. Wahrsch. verw. Geb.17, 124–146 (1971)
Gaenssler, P.: A convergence theorem for measures in regular Hausdorff spaces. Math. Scand.29, 237–244 (1971)
Gillman, L., Jerison, M.: Rings of continuous functions. Princeton: van Nostrand 1960
Grothendieck, A.: Sur les applications linéaires faiblement compactes d'espaces du type C(K). Canad. J. Math.5, 129–173 (1953)
Halmos, P.R.: Measure theory, 13th ed. Princeton: van Nostrand 1950
Kelley, J.L.: General topology, 10th ed. Princeton: van Nostrand 1955
Landers, D., Rogge, L.: The Hahn-Vitali-Saks and the uniform boundedness theorem in topological groups. Manuscripta Math.4, 351–359 (1971)
Landers, D., Rogge, L.: Cauchy convergent sequences of regular measures with values in a topological group. Z. Wahrsch. verw. Geb.21, 188–196 (1972)
Pfanzagl, J.: Convergent sequences of regular measures. Manuscripta Math.4, 91–98 (1971)
Rickart, C.E.: Decomposition of additive set functions. Duke Math. J.10, 653–665 (1943)
Rogge, L.: The convergence determining class of regular open sets. Proc. Amer. Math. Soc.37, 581–585 (1973)
Topsøe, F.: Compactness in spaces of measures. Studia Math.36, 195–212 (1970)
Wells jr., B.B.: Weak compactness of measures. Proc. Amer. Math. Soc.22, 124–130 (1969)
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Adamski, W., Gänβler, P. & Kaiser, S. On compactness and convergence in spaces of measures. Math. Ann. 220, 193–210 (1976). https://doi.org/10.1007/BF01431090
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DOI: https://doi.org/10.1007/BF01431090