The Vitali-Hahn-Saks and Nikodym theorems for additive set functions
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- by R. B. Darst PDF
- Bull. Amer. Math. Soc. 76 (1970), 1297-1298
References
- James K. Brooks, On the Vitali-Hahn-Saks and Nikodým theorems, Proc. Nat. Acad. Sci. U.S.A. 64 (1969), 468–471. MR 268343, DOI 10.1073/pnas.64.2.468
- Richard B. Darst, A decomposition for complete normed abelian groups with applications to spaces of additive set functions, Trans. Amer. Math. Soc. 103 (1962), 549–558. MR 137807, DOI 10.1090/S0002-9947-1962-0137807-5
- R. B. Darst, On a theorem of Nikodym with applications to weak convergence and von Neumann algebras, Pacific J. Math. 23 (1967), 473–477. MR 238084, DOI 10.2140/pjm.1967.23.473
- R. B. Darst, A direct proof of Porcelli’s condition for weak convergence, Proc. Amer. Math. Soc. 17 (1966), 1094–1096. MR 206687, DOI 10.1090/S0002-9939-1966-0206687-0
- Shizuo Kakutani, Concrete representation of abstract $(L)$-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523–537. MR 4095, DOI 10.2307/1968915
- Solomon Leader, The theory of $L^p$-spaces for finitely additive set functions, Ann. of Math. (2) 58 (1953), 528–543. MR 58126, DOI 10.2307/1969752
- Pasquale Porcelli, Two embedding theorems with applications to weak convergence and compactness in spaces of additive type functions, J. Math. Mech. 9 (1960), 273–292. MR 0124723, DOI 10.1512/iumj.1960.9.59016
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 1297-1298
- MSC (1970): Primary 2813, 2850
- DOI: https://doi.org/10.1090/S0002-9904-1970-12647-7
- MathSciNet review: 0264026