Geodesic
A Note on Banach Spaces Containing l 1
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 365-367

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DOI

If Y is a subspace of a Banach space X, either Y contains an isomorphic copy of l 1 or each weak Cauchy sequence in X/Y has a subsequence that is the image under the quotient mapping of a weak Cauchy sequence in X. If X is weakly sequentially complete and Y is reflexive, X/Y is weakly sequentially complete. Related structural results are given.
DOI : 10.4153/CMB-1976-056-x
Mots-clés : 46B15, 46A35, Banach space, weakly sequentially complete, Schur property 
Lohman, Robert H. A Note on Banach Spaces Containing l 1. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 365-367. doi: 10.4153/CMB-1976-056-x
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