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Banach spaces with an unconditional basis that are isomorphic to a nonatomic Banach lattice


Author: Lea McClaran
Journal: Proc. Amer. Math. Soc. 123 (1995), 471-476
MSC: Primary 46B15; Secondary 46B42
DOI: https://doi.org/10.1090/S0002-9939-1995-1254847-0
MathSciNet review: 1254847
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Abstract: It is proved that if X is a Banach space with an unconditional basis, then X is isomorphic to a nonatomic Banach lattice which is not order continuous if and only if X contains a subspace isomorphic to $ {c_0}$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1254847-0
Article copyright: © Copyright 1995 American Mathematical Society

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