Embedding into Banach Spaces with Finite Dimensional Decompositions

@inproceedings{Odell2006EmbeddingIB,
  title={Embedding into Banach Spaces with Finite Dimensional Decompositions},
  author={Edward Odell and TH. SCHLUMPRECHT},
  year={2006}
}
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?