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A short proof of a characterization of reflexivity of James

Author(s): Eve Oja
Journal: Proc. Amer. Math. Soc. 126 (1998), 2507-2508.
MSC (1991): Primary 46B20
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Abstract: A short direct proof is given to a well-known intrinsic characterization of reflexivity due to R. C. James.

References:

1.: B. Beauzamy, Introduction to Banach spaces and their geometry, North-Holland Math. Stud., vol. 68, North-Holland, Amsterdam, 1982. MR 84g:46017
2.: S. Guerre-Delabrière, Classical sequences in Banach spaces, Marcel Dekker, New York, 1992. MR 94d:46013
3.: R. Haller and E. Oja, Geometric characterizations of positions of Banach spaces in their biduals, Arch. Math. 69 (1997), 227-233. CMP 97:16
4.: R. C. James, Weak compactness and reflexivity, Israel J. Math. 2 (1964), 101-119. MR 31:585
5.: V. D. Milman, Geometric theory of Banach spaces II, Uspekhi Mat. Nauk 26 (6) (1971), 73-149. (Russian) MR 54:8240


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