The lattice-isometric copies of in quotients of Banach lattices.
Wójtowicz, Marek (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Canonical embedding of function spaces into the topological bidual of .”
The lattice-isometric copies of in quotients of Banach lattices.
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We give a brief survey of recent results of order limited operators related to some properties on Banach lattices.
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The lattice copies of in Banach lattices
Marek Wójtowicz (2001)
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It is known that a Banach lattice with order continuous norm contains a copy of if and only if it contains a lattice copy of . 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 - and -cases considered by Lozanovskii, Mekler and Meyer-Nieberg.