On Vitali-Hahn-Saks type theorems
HTML articles powered by AMS MathViewer
- by Barbara Faires PDF
- Bull. Amer. Math. Soc. 80 (1974), 670-674
References
- D. Amir and J. Lindenstrauss, The structure of weakly compact sets in Banach spaces, Ann. of Math. (2) 88 (1968), 35–46. MR 228983, DOI 10.2307/1970554
- James K. Brooks and Robert S. Jewett, On finitely additive vector measures, Proc. Nat. Acad. Sci. U.S.A. 67 (1970), 1294–1298. MR 269802, DOI 10.1073/pnas.67.3.1294
- J. Diestel, Applications of weak compactness and bases to vector measures and vectorial integration, Rev. Roumaine Math. Pures Appl. 18 (1973), 211–224. MR 317042
- J. Diestel, Grothendieck spaces and vector measures, Vector and operator valued measures and applications (Proc. Sympos., Alta, Utah, 1972) Academic Press, New York, 1973, pp. 97–108. MR 0338774
- L. Drewnowski, On control submeasures and measures, Studia Math. 50 (1974), 203–224. MR 352394, DOI 10.4064/sm-50-3-203-224
- L. Drewnowski, Decompositions of set functions, Studia Math. 48 (1973), 23–48. MR 335738, DOI 10.4064/sm-48-1-23-48
- L. Drewnowski, Topological rings of sets, continuous set functions, integration. I, II, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 269–276; ibid. 20 (1972), 277–286 (English, with Russian summary). MR 306432
- L. Drewnowski, Topological rings of sets, continuous set functions, integration. I, II, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 269–276; ibid. 20 (1972), 277–286 (English, with Russian summary). MR 306432
- L. Drewnowski, Topological rings of sets, continuous set functions, integration. III, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 439–445 (English, with Russian summary). MR 316653 10. Barbara Faires, Grothendieck spaces and vector measures, Ph.D. Dissertation, Kent State University, Kent, Ohio, August, 1974.
- I. Labuda, Sur quelques généralisations des théorèmes de Nikodym et de Vitali-Hahn-Saks, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 447–456 (French, with English and Russian summaries). MR 340538
- I. Labuda, Sur le théorème de Bartle-Dunford-Schwartz, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 549–553 (French, with English and Russian summaries). MR 316671
- G. L. Seever, Measures on $F$-spaces, Trans. Amer. Math. Soc. 133 (1968), 267–280. MR 226386, DOI 10.1090/S0002-9947-1968-0226386-5
- J. J. Uhl Jr., Extensions and decompositions of vector measures, J. London Math. Soc. (2) 3 (1971), 672–676. MR 286974, DOI 10.1112/jlms/s2-3.4.672
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 670-674
- MSC (1970): Primary 46G99; Secondary 28A60
- DOI: https://doi.org/10.1090/S0002-9904-1974-13541-X
- MathSciNet review: 0377509