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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] W. J. Davis and R. R. Phelps,The Radon-Nikodym propoerty and dentable sets in Banach spaces, Proc. Amer. Math. Soc.45 (1974), 119–122. · Zbl 0298.46046
[3] J. Diestel,Geometry of Banach Spaces–Selected Topics, Springer-Verlag 485, 1975. · Zbl 0307.46009
[4] R. E. Huff,Dentability and the Radon-Nikodym property, Duke Math. J.41 (1974), 111–114. · Zbl 0285.46037
[5] R. E. Huff and P. Morris,Geometric characterizations of the Radon-Nikodym property in Banach spaces. · Zbl 0351.46011
[6] J. Lindenstrauss,On operators which attain their norm, Israel J. Math.1 (1963), 139–148. · Zbl 0127.06704
[7] H. Maynard,A geometric characterization of Banach spaces possessing the Radon-Nikodym property, Trans. Amer. Math. Soc.185 (1973), 493–500. · 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.
[10] S. L. Troyanski,On locally uniformely convex and differentiable norms in certain nonseparable Banach spaces, Studia Math.37 (1971), 173–180. · Zbl 0214.12701
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