Points extrémaux et propriétés de Radon-Nikodym dans les espaces de Fréchet dentables

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1. [1] Choquet ( G.). - Lectures on analysis. Vol. I-III. - New York, Amsterdam, W. A. Benjamin, 1969 (Mathematics Lecture Note Series). 
2. [2] Clarkson ( J.A.). - Uniformly convex spaces, Trans. Amer. math. Soc., t. 40, 1936, p. 396-414. Zbl0015.35604MR1501880JFM62.0460.04
3. [3] Davis ( W.J.) and Phelps ( R.R.). - The Radon-Nikodym property and dentable sets in Banach spaces, Proc. Amer. math. Soc. (à paraître). Zbl0298.46046MR344852
4. [4] Dinculeanu ( N. ) . - Vector measures. - Berlin, VEB Deutscher Verlag der Wissenschaften, 1966 (Hochschulbücher für Mathematik, 64). Zbl0142.10502MR206189
5. [5] Grothendieck ( A.). - Espaces vectoriels topologiques, 3a edição. - São Paulo, Sociedade de Matematica de São Paulo, 1964. Zbl0316.46001
6. [6] Grothendieck ( A.). - Produits tensoriels topologiques et espaces nucléaires. - Providence, American mathematical Society, 1955 (Memoirs of the American mathematical Society, 16). Zbl0123.30301MR75539
7. [7] Köthe ( G.). - Topological vector spaces. I. - New York, Heidelberg, Berlin, Springer-Verlag, 1969 (Grundlehren der mathematischen Wissenschaften, 159). Zbl0179.17001MR248498
8. [8] Lewis ( D.R.). - On integrability and summability in vector spaces, Illinois J. Math., t. 16, 1972, p. 294-307. Zbl0242.28008MR291409
9. [9] Lindenstrauss ( J.). - Weakly compact sets. Their topological properties and the Banach spaces they generate, "Symposium on infinite dimensional topology", p. 235-273. - Princeton, Princeton University Press and University of Tokyo Press, 1972 (Annals of Mathematics Studies, 69). Zbl0232.46019MR417761
10. [10] Maynard ( H.B.). - A geometric characterization of Banach spaces with the Radon-Nikodym property, Trans. Amer. math. Soc., t. 185, 1973, p. 493-500. Zbl0278.46040MR385521
11. [11] Namioka ( I.). - Neighborhoods of extreme points, Israël J. Math., t. 5, 1967, p. 145-152. Zbl0177.40501MR221271
12. [12] Neumann ( J. von ). - Zur Operatorenmethode in der klassischen Mechanik, Annals of Math., Series 2, t. 33, 1932, p. 587-642 et p. 789-791. Zbl0005.12203MR1503078JFM58.1270.04
13. [13] Phelps ( R.R.). - Dentability and extreme points in Banach spaces (à paraître). Zbl0287.46026
14. [14] Rieffel ( M.A.). - Dentable subsets of Banach spaces, with application to a Radon-Nikodym theorem, "Functional analysis", Proceedings of a Conference held at the University of California [1966. Irvine], p. 71-77. - Washington, Thompson Company, London, Academie Press, 1967. Zbl0213.13703MR222618
15. [15] Saab ( E.). - Dentabilité et points extrémaux dans les espaces localement convexes, Séminaire Choquet : 13e année, 1973/74, n° 13, 9 p. Zbl0332.46029MR511753
16. [16] Schaeffer ( H.H.). - Topological vector spaces, 3rd printing. - New York, Heidelberg, Berlin, Springer-Verlag, 1970. Zbl0217.16002
17. [17] Swartz ( C.). - Vector measures and nuclear spaces, Rev. roum. Math. pures et appl., t. 18, 1973, p. 1261-1268. Zbl0273.28009MR343028
18. [18] Thomas ( E. ) . - Le théorème de Lebesgue-Nikodym pour les mesures vectorielles et les applications 1-sommantes, C. R. Acad. Sc. Paris, t. 271, 1970, série A, p. 872-875. Zbl0203.12902
19. [19] Troyanski ( S.L.). - On locally uniformly convex and differentiable norms in certain non-separable Banach spaces, Studia Math., t. 37, 1971, p. 173-180. Zbl0214.12701MR306873
20. [20] Yosida ( K.). - Functional analysis, 3rd printing. - New York, Heidelberg, Berlin, Springer-Verlag, 1971. Zbl0217.16001MR617913

1. Elias Saab, Familles absolument sommables et propriété de Radon-Nikodym
2. Skender Gjinushi, Espaces localement convexes séparés différentiables