, Volume 32, Issue 2-3, pp 209-220

EmbeddingL 1 in a Banach lattice

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We show that ifX is a Banach lattice containing no copy ofc 0 and ifZ is a subspace ofX isomorphic toL 1[0, 1] then (a)Z contains a subspaceZ 0 isomorphic toL 1 and complemented inX and (b)X contains a complemented sublattice isomorphic and lattice-isomorphic toL 1.