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Embedding into Banach spaces with finite dimensional decompositions

E. Odell, Th. Schlumprecht

math.FAarXiv:math/0701324

Abstract

This paper deals with the following types of problems: Assume a Banach space X has some property (P). Can it be embedded into some Banach space Z with a finite dimensional decomposition having property (P), or more generally, having a property related to (P)? Secondly, given a class of Banach spaces, does there exist a Banach space in this class, or in a closely related one, which is universal for this class?

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