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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A Banach space not containing $ c\sb 0,\ l\sb 1$ or a reflexive subspace


Author: W. T. Gowers
Journal: Trans. Amer. Math. Soc. 344 (1994), 407-420
MSC: Primary 46B99; Secondary 46B25
MathSciNet review: 1250820
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Abstract: An infinite-dimensional Banach space is constructed which does not contain $ {c_0}$, $ {l_1}$ or an infinite-dimensional reflexive subspace. In fact, it does not even contain $ {l_1}$ or an infinite-dimensional subspace with a separable dual.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1250820-0
PII: S 0002-9947(1994)1250820-0
Article copyright: © Copyright 1994 American Mathematical Society