Compacité extrémale
HTML articles powered by AMS MathViewer
- by Jean Bourgain and Michel Talagrand PDF
- Proc. Amer. Math. Soc. 80 (1980), 68-70 Request permission
Abstract:
Un ensemble borné d’un espace de Banach E est faiblement compact dès qu’il est compact pour la topologie de la convergence simple sur les points extrêmaux de la boule unité du dual de E.References
-
G. Choquet, Lectures on analysis, Benjamin, New York, 1969.
- J. Bourgain, D. H. Fremlin, and M. Talagrand, Pointwise compact sets of Baire-measurable functions, Amer. J. Math. 100 (1978), no. 4, 845–886. MR 509077, DOI 10.2307/2373913
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751 M. Talagrand, Espaces de Banach faiblement $\mathcal {H}$-analytiques, Ann. of Math. (a paraître)
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 68-70
- MSC: Primary 46B10; Secondary 46A50
- DOI: https://doi.org/10.1090/S0002-9939-1980-0574510-8
- MathSciNet review: 574510