Quand l’espace des mesures à variation bornée est-il faiblement séquentiellement complet?
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- by Michel Talagrand PDF
- Proc. Amer. Math. Soc. 90 (1984), 285-288 Request permission
Abstract:
We construct a Banach lattice $E$ which does not contain ${c_0}$ (hence is weakly sequentially complete), but such that the lattice of $E$-valued measures of bounded variation contains ${c_0}$.References
- James Hagler, A counterexample to several questions about Banach spaces, Studia Math. 60 (1977), no. 3, 289–308. MR 442651, DOI 10.4064/sm-60-3-289-308 M. Talagrand, Weak Cauchy sequences in ${L^1}(E)$, Amer. J. Math. (àparaître).
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 285-288
- MSC: Primary 46B99; Secondary 46E27
- DOI: https://doi.org/10.1090/S0002-9939-1984-0727251-1
- MathSciNet review: 727251