EmbeddingL
1 in a Banach lattice |
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| Authors: | N J Kalton |
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| Institution: | (1) Department of Mathematics, University of Illinois, 61801 Urbana, Illinois, USA;(2) Present address: Department of Pure Mathematics, University College of Swansea, Singleton Park, SA2 8PP Swansea, Wales, U.K. |
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| Abstract: | We show that ifX is a Banach lattice containing no copy ofc
0 and ifZ is a subspace ofX isomorphic toL
10, 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. |
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| Keywords: | |
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