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

##### MSC:
 46B99 Normed linear spaces and Banach spaces 46G10 Vector-valued measures and integration 46E40 Spaces of vector- and operator-valued functions
##### References:
 [1] E. Bishop and R. R. Phelps,The support functionals of a convex set, Proc. Symp. Pure Math.7, (Convexity) 27–35. [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. · doi:10.1090/S0002-9939-1974-0344852-7 [3] J. Diestel,Geometry of Banach Spaces–Selected Topics, Springer-Verlag 485, 1975. [4] R. E. Huff,Dentability and the Radon-Nikodym property, Duke Math. J.41 (1974), 111–114. · Zbl 0285.46037 · doi:10.1215/S0012-7094-74-04111-8 [5] R. E. Huff and P. Morris,Geometric characterizations of the Radon-Nikodym property in Banach spaces. [6] J. Lindenstrauss,On operators which attain their norm, Israel J. Math.1 (1963), 139–148. · Zbl 0127.06704 · doi:10.1007/BF02759700 [7] H. Maynard,A geometric characterization of Banach spaces possessing the Radon-Nikodym property, Trans. Amer. Math. Soc.185 (1973), 493–500. · doi:10.1090/S0002-9947-1973-0385521-0 [8] R. R. Phelps,Dentability and extreme points in Banach spaces, J. Functional Analysis, (1974). [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.