@article{SM_2001_192_7_a2,
author = {V. M. Klimkin and M. G. Svistula},
title = {Darboux property of a~non-additive set function},
journal = {Sbornik. Mathematics},
pages = {969--978},
year = {2001},
volume = {192},
number = {7},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2001_192_7_a2/}
}
V. M. Klimkin; M. G. Svistula. Darboux property of a non-additive set function. Sbornik. Mathematics, Tome 192 (2001) no. 7, pp. 969-978. http://geodesic.mathdoc.fr/item/SM_2001_192_7_a2/
[1] Khalmosh P., Teoriya mery, IL, M., 1953
[2] Dinculeanu N., Vector measures, VEB, Berlin, 1966 | MR | Zbl
[3] Lyapunov A. A., “O vpolne additivnykh vektor-funktsiyakh”, Izv. AN SSSR. Ser. matem., 4:6 (1940), 465–478 | MR | Zbl
[4] Halmos P. R., “The range of a vector measure”, Bull. Amer. Math. Soc., 1948, no. 54, 416–421 | DOI | MR | Zbl
[5] Lindenstrauss J., “A short proof of Liapounoff's convexity theorem”, J. Math. Mech., 1966, no. 15, 971–972 | MR | Zbl
[6] Scozzafava R., “Completa additivita su opportune successioni di insiemi di una misura di probabilita semplicemente additiva e fortemente non atomica”, Boll. Un. Mat. Ital. B(7), 16:5 (1979), 639–648 | MR | Zbl
[7] Braskara Rao M., Braskara Rao K. P. S., “Charges on Boolean algebras and almost discrete spaces”, Mathematika, 1973, no. 20, 214–223 | MR | Zbl
[8] Maharam D., “Finitely additive measures on the integers”, Sankhyā Ser. A, 1976, no. 38, 44–49 | MR
[9] Olejček V., “Darboux property of finitely additive measure on $\delta$-ring”, Math. Slovaca, 27:2 (1977), 195–201 | MR | Zbl
[10] Armstrong T. E., Prikry K., “Liapounoff's theorem for nonatomic, finitely-additive, bounded, finite-dimensional, vector-valued measures”, Trans. Amer. Math. Soc., 266:2 (1981), 499–514 | DOI | MR | Zbl
[11] Dobrakov I., “On submeasures, I”, Dissertationes Math., 112 (1974) | MR | Zbl
[12] Musial K., “Absolute continuity and the range of group valued measure”, Bull. Acad. Polon. Sci. Ser. Math. Astron. Phys., 21:2 (1973), 105–113 | MR | Zbl
[13] Landers D., “Connectedness properties of the range of vector and semimeasures”, Manuscripta Math., 1973, no. 9, 105–112 | DOI | MR | Zbl
[14] Constantinescu C., “The range of atomless group valued measures”, Comment. Math. Helv., 1976, no. 51, 207–213 | DOI | MR | Zbl
[15] Martellotti A., “Topological properties of the range of a group-valued finitely additive measure”, J. Math. Anal. Appl., 1985, no. 110, 411–424 | DOI | MR | Zbl
[16] Auman R., Shepli L., Znacheniya dlya neatomicheskikh igr, Mir, M., 1977 | MR
[17] Seever G. L., “Measures on $F$-spaces”, Trans. Amer. Math. Soc., 1968, no. 133, 267–280 | DOI | MR | Zbl
[18] Sikorskii R., Bulevy algebry, Mir, M., 1969 | MR
[19] Saks S., “Addition to the note on some functionals”, Trans. Amer. Math. Soc., 1933, no. 35, 967–974
[20] Yosida K., Hewitt E., “Finitely additive measures”, Trans. Amer. Math. Soc., 1952, no. 72, 46–66 | DOI | MR | Zbl