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Selections linéaires associees au théorème de Hahn-Banach. (French) Zbl 0252.46023


MSC:

46B10 Duality and reflexivity in normed linear and Banach spaces
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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References:

[1] E. Alfsen and E. EffrosAnn. of Math.; E. Alfsen and E. EffrosAnn. of Math.
[2] Comfort, W.; Gordon, H., Inner product spaces and the three spherical intersection property, (Proc. Amer. Math. Soc., 12 (1961)), 327-329 · Zbl 0099.31604
[3] Corson, H.; Klee, V., Topological classification of convex sets, (Proc. Symp. Pure Math. Convexity (1963)), 37-51 · Zbl 0207.42901
[4] Day, M., Normed Linear Spaces (1963), Springer: Springer Berlin
[5] Effros, E., Structure in simplexes, Acta. Math., 117, 103-121 (1967) · Zbl 0154.14201
[6] \( \textsc{H. Fakhoury}L\)Bull. Sci. Math.; \( \textsc{H. Fakhoury}L\)Bull. Sci. Math. · Zbl 0238.46032
[7] \( \textsc{H. Fakhoury}CX\); \( \textsc{H. Fakhoury}CX\)
[8] Grothendieck, A., Une caractérisation véctorielle métrique des espaces \(L^1\), Canad. J. Math., 7, 552-561 (1955) · Zbl 0065.34503
[9] Kakutani, S., Some characterizations of Euclidian spaces, Japan J. Math., 16, 93-97 (1939) · JFM 65.0506.01
[10] Lindenstrauss, J., On a problem of Nachbin concerning extension of operators, Israel J. Math., 1, 75-84 (1963) · Zbl 0145.39003
[11] Lindenstrauss, J., Extension of compact operators, Mem. Amer. Math. Soc., 48, 1-112 (1964) · Zbl 0141.12001
[12] Lindenstrauss, J., Non linear projections, Michigan Math. J., 11, 263-287 (1964) · Zbl 0195.42803
[13] Lindenstrauss, J.; Rosenthal, H., The \(L_p\)-spaces, Israel J. Math., 7, 325-349 (1969) · Zbl 0205.12602
[14] Lindenstrauss, J.; Tzafriri, L., On the complemented subspace problem, Israel J. Math., 9, 263-269 (1971) · Zbl 0211.16301
[15] Michael, E., Continuous selections I, Ann. of Math., 63, 361-382 (1956) · Zbl 0071.15902
[16] Fakhoury, H., Une caractérisation des simplexes compacts et de cônes réticulés: Applications, (Séminaire d’Initiation à l’Analyse (1969-1970)), n° 2 · Zbl 0223.46022
[17] Fakhoury, H., Structures uniformes faibles sur une classe de cônes et d’ensembles convexes, Pacific J. Math., 39, 641-654 (1971) · Zbl 0201.15401
[18] Fullerton, R., A characterisation of \(L\)-spaces, Fund. Math., 38, 127-136 (1951) · Zbl 0044.27802
[19] \( \textsc{H. Lacey}L_∞\); \( \textsc{H. Lacey}L_∞\)
[20] \( \textsc{C. Stegall}l_1Γ\); \( \textsc{C. Stegall}l_1Γ\)
[21] Fakhoury, H., Sélections linéaires associées au théorème de Hahn-Banach, C. R. Acad. Sci., 271, 756 (1972) · Zbl 0234.46012
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