A characterization of Banach spaces containing $c\sb 0$
نویسندگان
چکیده
منابع مشابه
A characterization of banach spaces containing L.
It is proved that a Banach space contains a subspace isomorphic to l(1) if (and only if) it has a bounded sequence with no weak-Cauchy subsequence. The proof yields that a sequence of subsets of a given set has a subsequence that is either convergent or Boolean independent.
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1994
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-1994-1242455-4