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Some geometric and topological properties of the unit ball in Banach spaces. (English) Zbl 0770.46004

See the preview in Zbl 0579.46009.

MSC:

46B20 Geometry and structure of normed linear spaces
46B22 Radon-Nikodým, Kreĭn-Milman and related properties

Citations:

Zbl 0579.46009
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References:

[1] Fan, K., Glicksburg, I.: Some geometric properties of the spheres in a normed linear space. Duke Math. J.25, 553?568 (1958) · Zbl 0084.33101 · doi:10.1215/S0012-7094-58-02550-X
[2] Kadec, M.I.: Relation between some properties of convexity of the unit ball of a Banach space. Funct. Anal. Appl.16, 204?206 (1982)
[3] Bor-Luh Lin, Pei-Kee Lin: Property (H) in Lebesgue-Bochner function spaces. Proc. Am. Math. Soc.95, 581?584 (1985) · Zbl 0595.46021
[4] Bor-Luh Lin, Pei-Kee Lin: Denting points in BochnerL p -spaces. Proc. Am. Math. Soc. (to appear) · Zbl 0603.46041
[5] Smith, M., Turret, B.: Rotundity in Lebesgue-Bochner function spaces. Trans. Am. Math. Soc.257, 105?118 (1980) · Zbl 0368.46039 · doi:10.1090/S0002-9947-1980-0549157-4
[6] Smith, M.A.: Some examples concerning rotundity in Banach space theory. Math. Ann.233, 155?161 (1978) · Zbl 0391.46014 · doi:10.1007/BF01421923
[7] Troyanski, S.: On a property of the norm which is close to local uniform rotundity. Math. Ann.271, 305?314 (1985) · Zbl 0546.46012 · doi:10.1007/BF01455991
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