The lattice copies of l1 in Banach lattices

نویسنده

  • Marek Wójtowicz
چکیده

It is known that a Banach lattice with order continuous norm contains a copy of l1 if and only if it contains a lattice copy of l1. The purpose of this note is to present a more direct proof of this useful fact, which extends a similar theorem due to R.C. James for Banach spaces with unconditional bases, and complements the c0and l∞-cases considered by Lozanovskii, Mekler and Meyer-Nieberg.

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تاریخ انتشار 2010