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Dobrakov, Ivan; Farkova, Jana

On submeasures. II. (English) Zbl 0428.28001

Math. Slovaca 30, 65-81 (1980).
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Cited in 2 Reviews
Cited in 36 Documents

MSC:

28A10 Real- or complex-valued set functions
28A12 Contents, measures, outer measures, capacities
28A15 Abstract differentiation theory, differentiation of set functions

Keywords:

uniform exhaustivity; equi-absolute continuity; equi-subadditive continuity; sequential compactness; topology of pointwise convergence; submeasures; absolute continuity; subadditively continuous; semimeasure

Citations:

Zbl 0292.28001
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\textit{I. Dobrakov} and \textit{J. Farkova}, Math. Slovaca 30, 65--81 (1980; Zbl 0428.28001)
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References:

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[2] АЛЕКСЮК В. Н.: О слабой компактности семейства квазимер. О взаимосвязи метрики и меры. Сибир. мат. Ж. 11, 1970, 723-738. · Zbl 1230.76053 · doi:10.1143/JPSJ.29.1366
[3] BOURBAKI N.: Topologie générale. Chap. 9, Paris 1948. · Zbl 0031.05502
[4] DOBRAKOV I.: On submeasures I. Dissertat. Math., 112, 1974, 5-35. · Zbl 0292.28001
[5] DREWNOWSKI L.: Topological rings of sets, continuous set functions, integration, I., II., III. Bull. Acad. Polon. Sci., 20, 1972, 269-286, 439-445. · Zbl 0249.28005
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[7] DREWNOWSKI L.: Decompositions of set functions. Studia Math., 48, 1973, 21-47. · Zbl 0269.28003
[8] DREWNOWSKI L.: On control submeasures and measures. Studia Math., 50, 1974, 203-224. · Zbl 0285.28015
[9] DREWNOWSKI L.: On complete submeasures. Commentat. Math., 18, 1975, 177-186. · Zbl 0339.28002
[10] GOULD G. G.: Integration over vector-valued measures. Proc. London Math. Soc., 15, 1965, 193-225. · Zbl 0138.38403 · doi:10.1112/plms/s3-15.1.193
[11] ГУСУЛЬНИКОВ Н. С.: Об одном аналоге теоремы Витали-Хана-Сакса. Матем. заметки, 19, 1976, 641-652. · Zbl 1226.05083
[12] HALMOS P.: Measure Theory. New York 1950. · Zbl 0040.16802
[13] KHURANA S. S.: Extensions of exhaustive submeasures. Bull. Acad. Polon. Sci., 24, 1974, 213-216. · Zbl 0286.28002
[14] LABUDA I.: Sur quelques généralisations des théorèmes de Nikodym et de Vitali-Hahn-Saks. Bull. Acad. Polon. Sci., 20, 1972, 447-456. · Zbl 0242.28003
[15] ORLICZ W.: Absolute continuity of vector-valued finitely additive set functions I. Studia Math., 30, 1968, 121-133. · Zbl 0169.46703
[16] ORLICZ W.: Absolute continuity of set functions with respect to a finitely subadditive measure. Commentat. Math., 14, 1970, 111-128. · Zbl 0243.28006
[17] WALKER H. D.: Uniformly additive families of measures. Bull. Math. Soc. Sci. Math. Roum., 18, 1974, 217-224. · Zbl 0321.28003
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