EmbeddingL1 in a Banach lattice
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We show that ifX is a Banach lattice containing no copy ofc0 and ifZ is a subspace ofX isomorphic toL1[0, 1] then (a)Z contains a subspaceZ0 isomorphic toL1 and complemented inX and (b)X contains a complemented sublattice isomorphic and lattice-isomorphic toL1.
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- 2.P. Enflo and T. Starbird,Subspaces of L 1 isomorphic to L1, to appear in Studia Math.Google Scholar
- 3.W. B. Johnson, B. Maurey, G. Schechtman and L. Tzafriri,Symmetric structures in Banach spaces, to appear.Google Scholar
- 5.H. P. Lotz,The Radon-Nikodym property in Banach lattices, to appear.Google Scholar
- 6.H. P. Lotz and H. P. Rosenthal, to appear.Google Scholar