An unconditional result about Grothendieck spaces
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- by Richard Haydon PDF
- Proc. Amer. Math. Soc. 100 (1987), 511-516 Request permission
Abstract:
It is shown that if $X$ is a nonreflexive Banach spach such that every weak* convergent sequence in ${X^ * }$ is also weakly convergent, then ${X^ * }$ has a subspace isometric to ${L_1}({\left \{ {0,1} \right \}^{{\omega _1}}})$References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 511-516
- MSC: Primary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-1987-0891155-7
- MathSciNet review: 891155