A short proof of a characterization of reflexivity of James
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- Proc. Amer. Math. Soc. 126 (1998), 2507-2508 Request permission
Abstract:
A short direct proof is given to a well-known intrinsic characterization of reflexivity due to R. C. James.References
- Bernard Beauzamy, Introduction to Banach spaces and their geometry, Notas de Matemática [Mathematical Notes], vol. 86, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 670943
- Sylvie Guerre-Delabrière, Classical sequences in Banach spaces, Monographs and Textbooks in Pure and Applied Mathematics, vol. 166, Marcel Dekker, Inc., New York, 1992. With a foreword by Haskell P. Rosenthal. MR 1197117
- R. Haller and E. Oja, Geometric characterizations of positions of Banach spaces in their biduals, Arch. Math. 69 (1997), 227–233.
- Robert C. James, Weak compactness and reflexivity, Israel J. Math. 2 (1964), 101–119. MR 176310, DOI 10.1007/BF02759950
- V. D. Milman, Geometric theory of Banach spaces. II. Geometry of the unit ball, Uspehi Mat. Nauk 26 (1971), no. 6(162), 73–149 (Russian). MR 0420226
Additional Information
- Eve Oja
- Affiliation: Faculty of Mathematics, Tartu University, Vanemuise 46, EE2400 Tartu, Estonia
- Email: eveoja@math.ut.ee
- Received by editor(s): June 20, 1997
- Received by editor(s) in revised form: August 27, 1997
- Communicated by: Dale Alspach
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2507-2508
- MSC (1991): Primary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-98-04691-7
- MathSciNet review: 1476382