A local characterization of Banach lattices with order continuous norm
S. Bernau, H. Lacey (1976)
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Displaying similar documents to “A Stone-Weierstrass theorem for Banach lattices”
A local characterization of Banach lattices with order continuous norm
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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.
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