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Proceedings of the American Mathematical Society

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

 
 

 

On dual spaces with bounded sequences without weak$^ *$-convergent convex blocks


Author: Thomas Schlumprecht
Journal: Proc. Amer. Math. Soc. 107 (1989), 395-408
MSC: Primary 46B20
DOI: https://doi.org/10.1090/S0002-9939-1989-0979052-1
MathSciNet review: 979052
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Abstract: In this work we show that if ${X^ * }$ contains bounded sequences without weak* convergent convex blocks, then it contains an isometric copy of ${L_1}\left ( {{{\left \{ {0,1} \right \}}^{{\omega _1}}}} \right )$.


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Article copyright: © Copyright 1989 American Mathematical Society