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Embedding into Banach spaces with finite dimensional decompositions

泛函分析 2007-06-13 v1

摘要

This paper deals with the following types of problems: Assume a Banach space XX has some property (P). Can it be embedded into some Banach space ZZ 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?

关键词

引用

@article{arxiv.math/0701324,
  title  = {Embedding into Banach spaces with finite dimensional decompositions},
  author = {E. Odell and Th. Schlumprecht},
  journal= {arXiv preprint arXiv:math/0701324},
  year   = {2007}
}

备注

26 pages