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Absolute continuity and weak compactness
Author(s):
Constantin
Niculescu
Journal:
Bull. Amer. Math. Soc.
81
(1975),
1064-1066.
MSC (1970):
Primary 46G10
MathSciNet review:
0385619
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Additional information
References:
- 1.
- R. G. Bartle, N. Dunford and J. Schwartz, Weak compactness and vector measures, Canad. J. Math. 7 (1955), 289-305. MR 16, 1123. MR 70050
- 2.
- A. Dvoretzky and C. A. Rogers, Absolute and unconditional convergence in normed linear spaces, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 192-197. MR 11, 525. MR 33975
- 3.
- A. Grothendieck, Sur les applications linéaires faiblement compactes d'espaces du type C(K), Canad. J. Math. 5 (1953), 129-173. MR 15, 438. MR 58866
- 4.
- A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paolo 8 (1953), 1-79 (1956). MR 20 #1194. MR 94682
- 5.
- C. Niculescu, Opérateurs absolument continus, Rev. Roumaine Math. Pures Appl. 19 (1974), 225-236. MR 344938
- 6.
- C. Niculescu, Lebesgue-Nikodym type theorems for operators given on Banach lattices, Rev. Roumaine Math. Pures Appl.
- 7.
- H. Rosenthal, A characterization of Banach spaces containing l, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 2411-2413. MR 358307
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13917-6
PII:
S 0002-9904(1975)13917-6
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