EmbeddingL1 in a Banach lattice
- Cite this article as:
- Kalton, N.J. Israel J. Math. (1979) 32: 209. doi:10.1007/BF02764917
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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.