A double-dual characterization of separable Banach spaces containingl 1 |
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| Authors: | E. Odell H. P. Rosenthal |
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| Affiliation: | (1) The Ohio State University, Columbus, Ohio, USA;(2) The University of California, Berkeley, Calif, USA |
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| Abstract: | It is proved that a separable Banach spaceB contains a subspace isomorphic tol 1 if (and only if) there exists an element inB**, the double-dual ofB, which is not a weak* limit of a sequence of elements inB. ConsequentlyB contains an isomorph ofl 1 if (and only if) the cardinality ofB** is greater than that of the continuum. The research of the second-named author was partially supported by NSF — GP — 30798X1 |
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