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The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property. (English) Zbl 0529.28004


MSC:

28A33 Spaces of measures, convergence of measures
28A60 Measures on Boolean rings, measure algebras
06E10 Chain conditions, complete algebras
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[1] Frederick K. Dashiell Jr., Nonweakly compact operators from order-Cauchy complete \?(\?) lattices, with application to Baire classes, Trans. Amer. Math. Soc. 266 (1981), no. 2, 397 – 413. · Zbl 0493.47017
[2] J. Diestel and J. J. Uhl Jr., Vector measures, American Mathematical Society, Providence, R.I., 1977. With a foreword by B. J. Pettis; Mathematical Surveys, No. 15. · Zbl 0369.46039
[3] 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). · Zbl 0309.46041
[4] Richard Haydon, A nonreflexive Grothendieck space that does not contain \?_{\infty }, Israel J. Math. 40 (1981), no. 1, 65 – 73. · Zbl 1358.46007 · doi:10.1007/BF02761818
[5] Aníbal Moltó, On the Vitali-Hahn-Saks theorem, Proc. Roy. Soc. Edinburgh Sect. A 90 (1981), no. 1-2, 163 – 173. , https://doi.org/10.1017/S0308210500015407 Aníbal Moltó, On uniform boundedness properties in exhausting additive set function spaces, Proc. Roy. Soc. Edinburgh Sect. A 90 (1981), no. 1-2, 175 – 184. · Zbl 0482.46004 · doi:10.1017/S0308210500015419
[6] G. L. Seever, Measures on \?-spaces, Trans. Amer. Math. Soc. 133 (1968), 267 – 280. · Zbl 0189.44902
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