Embedding into Banach spaces with finite dimensional decompositions

Details Embedding into Banach spaces with finite dimensional decompositions Embedding into Banach spaces with finite dimensional decompositions

2007-01-11

arxiv.org/abs/math/0701324v1

RACSAM Rev. R. Acad. Cienc. Exactas F\~A?s. Nat. Ser. A Mat. 100 (2006), no. 1-2, 295--323

Mathematics

Functional Analysis

26 pages

Scientific paper

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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