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Extension of quasi-Lipschitz set functions. (English. Russian original) Zbl 0355.28001
Math. Notes 17, 14-19 (1975); translation from Mat. Zametki 17, 21-31 (1975).

MSC:
28A10 Real- or complex-valued set functions
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References:
[1] G. Ya. Areshkin, V. N. Aleksyuk, and V. M. Klimkin, ?Some properties of vector-valued measures,? Uch. Zap. LGPI,404, 298?321 (1971).
[2] V. N. Aleksyuk, ?Weak compactness of a family of quasimeasures. Relations between metrics and measures,? Sibirsk. Matem. Zh.,9, No. 4, 723?738 (1970).
[3] V. N. Aleksyuk and F. D. Beznosikov, ?Extension of a continuous outer measure to a Boolean algebra, ? Izv. Vuzov, Matematika, No. 4, 3?9 (1972).
[4] N. S. Gusel’nikov, ?Convergence of a sequence of continuous triangular measures,? Scientific Proceedfngs (Mathematics), XXVI Gertsen Readings, 78?82 (1973).
[5] L. Drewnowski, ?Topological rings of sets, continuous set functions, integration, II,? Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron. et Phys.,20, No. 4, 277?286 (1972). · Zbl 0249.28005
[6] N. Dunford and J. Schwartz, Linear Operators. General Theory, Interscience, New York (1964).
[7] V. M. Klimkin, ?Extension of a vector measure,? Izv. Vuzov, Matematika, No. 5, 46?53 (1971). · Zbl 0226.28007
[8] M. N. Lubyshev, ?A simple proof and a generalization of a theorem on extending continuous outer measures,? Scientific Proceedings (Mathematics), XXVI Gertsen Readings, 86?90 (1973).
[9] N. Dinculeanu, Vector Measures, Berlin (1966).
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