Some remarks on the sequences of exhaustive measures and uniform boundedness of measures
HTML articles powered by AMS MathViewer
- by Surjit Singh Khurana
- Proc. Amer. Math. Soc. 73 (1979), 207-208
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516465-X
- PDF | Request permission
Abstract:
Nikodym-type theorems and uniform boundedness theorems for measures on Boolean algebra with interpolation property are derived from corresponding results for $\sigma$-algebras.References
- 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, Equivalence of Brooks-Jewett, Vitali-Hahn-Saks and Nikodym theorems, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 725–731 (English, with Russian summary). MR 311869
- Barbara T. Faires, On Vitali-Hahn-Saks-Nikodym type theorems, Ann. Inst. Fourier (Grenoble) 26 (1976), no. 4, v, 99–114 (English, with French summary). MR 442186 H. H. Schaefer, Topological vector spaces, Macmillan, New York, 1971.
- 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
- Barbara Faires, On Vitali-Hahn-Saks type theorems, Bull. Amer. Math. Soc. 80 (1974), 670–674. MR 377509, DOI 10.1090/S0002-9904-1974-13541-X
Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 207-208
- MSC: Primary 28A60
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516465-X
- MathSciNet review: 516465