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Points minimaux et ensembles optimaux dans les espaces de Banach. (French) Zbl 0344.46049


MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
46B10 Duality and reflexivity in normed linear and Banach spaces
46B03 Isomorphic theory (including renorming) of Banach spaces
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
52A05 Convex sets without dimension restrictions (aspects of convex geometry)
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References:

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[4] Bohnenblust, F, Subspaces of lnp spaces, Amer. J. math., 72, 63-64, (1941) · JFM 67.0404.01
[5] Calvert, B, Convergence sets in reflexive Banach spaces, (), No. 2 · Zbl 0273.46008
[6] Dunford, J; Schwartz, J.T, Linear operators, (1958), Interscience Publishers New York
[7] {\scH. Fakhoury}, Deux caractérisations des espaces de Banach hilbertisables, A paraître.
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[11] Lindenstrauss, J, On non-separable reflexive Banach spaces, Bull. amer. math. soc., 72, 967-970, (1966) · Zbl 0156.36403
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