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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Dans un espace de Banach reticulé solide, la propriété de Radon-Nikodým et celle de Kreĭn-Mil′man sont équivalentes
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by Jean Bourgain and Michel Talagrand PDF
Proc. Amer. Math. Soc. 81 (1981), 93-96 Request permission

Abstract:

Un espace de Banach réticulé solide possède la propriété de Radon-Nikodým si et seulement si tout convexe fermé borné est enveloppe convexe fermée de ses points extrémaux.
References
  • J. Bourgain, A geometric characterization of the Radon-Nikodým property in Banach spaces, Compositio Math. 36 (1978), no. 1, 3–6. MR 515034
  • Joseph Diestel, Geometry of Banach spaces—selected topics, Lecture Notes in Mathematics, Vol. 485, Springer-Verlag, Berlin-New York, 1975. MR 0461094, DOI 10.1007/BFb0082079
  • N. Ghoussoub, Riesz-space valued measures and processes, J. Multivariate Analysis (à paraitre). N. Ghoussoub and M. Talagrand, Order dentability in Banach lattices, Math. Ann. (à paraitre).
  • Helmut H. Schaefer, Banach lattices and positive operators, Die Grundlehren der mathematischen Wissenschaften, Band 215, Springer-Verlag, New York-Heidelberg, 1974. MR 0423039, DOI 10.1007/978-3-642-65970-6
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 93-96
  • MSC: Primary 46B22; Secondary 46B30
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0589144-X
  • MathSciNet review: 589144