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On dentability and the Bishop-Phelps property. (English) Zbl 0365.46021


MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
46G10 Vector-valued measures and integration
46E40 Spaces of vector- and operator-valued functions
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References:

[1] E. Bishop and R. R. Phelps,The support functionals of a convex set, Proc. Symp. Pure Math.7, (Convexity) 27-35. · Zbl 0149.08601
[2] Davis, W. J.; Phelps, R. R., The Radon-Nikodym propoerty and dentable sets in Banach spaces, Proc. Amer. Math. Soc., 45, 119-122 (1974) · Zbl 0298.46046
[3] J. Diestel,Geometry of Banach Spaces—Selected Topics, Springer-Verlag 485, 1975. · Zbl 0307.46009
[4] Huff, R. E., Dentability and the Radon-Nikodym property, Duke Math. J., 41, 111-114 (1974) · Zbl 0285.46037
[5] R. E. Huff and P. Morris,Geometric characterizations of the Radon-Nikodym property in Banach spaces. · Zbl 0351.46011
[6] Lindenstrauss, J., On operators which attain their norm, Israel J. Math., 1, 139-148 (1963) · Zbl 0127.06704
[7] Maynard, H., A geometric characterization of Banach spaces possessing the Radon-Nikodym property, Trans. Amer. Math. Soc., 185, 493-500 (1973) · Zbl 0278.46040
[8] R. R. Phelps,Dentability and extreme points in Banach spaces, J. Functional Analysis, (1974). · Zbl 0287.46026
[9] M. A. Rieffel,Dentable subsets of Banach spaces, with applications to a Radon-Nikodym theorem, Proc. Conf. Functional Analysis, Thompson Book Co., Washington, D.C., 1967, pp. 71-77. · Zbl 0213.13703
[10] Troyanski, S. L., On locally uniformely convex and differentiable norms in certain nonseparable Banach spaces, Studia Math., 37, 173-180 (1971) · Zbl 0214.12701
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