Israel Journal of Mathematics

, Volume 32, Issue 2–3, pp 209–220 | Cite as

EmbeddingL1 in a Banach lattice

  • N. J. Kalton
Article

Abstract

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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Copyright information

© The Weizmann Science Press of Israel 1979

Authors and Affiliations

  • N. J. Kalton
    • 1
  1. 1.Department of MathematicsUniversity of IllinoisUrbanaUSA

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