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The lattice copies of \(\ell _1\) in Banach lattices. (English) Zbl 1090.46503

It is a known theorem that any Banach lattice with order continuous norm containing \(\ell _1\) contains a lattice copy of \(\ell _1\). The paper under review presents a more direct proof of this fact.

MSC:

46B42 Banach lattices
46B45 Banach sequence spaces
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