# Embedding into Banach spaces with finite dimensional decompositions.

Edward W. Odell; Thomas Schlumprecht

RACSAM (2006)

- Volume: 100, Issue: 1-2, page 295-323
- ISSN: 1578-7303

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topOdell, Edward W., and Schlumprecht, Thomas. "Embedding into Banach spaces with finite dimensional decompositions.." RACSAM 100.1-2 (2006): 295-323. <http://eudml.org/doc/41656>.

@article{Odell2006,

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?},

author = {Odell, Edward W., Schlumprecht, Thomas},

journal = {RACSAM},

keywords = {finite-dimensional decomposition; tree estimates; universal spaces; Szlenk index},

language = {eng},

number = {1-2},

pages = {295-323},

title = {Embedding into Banach spaces with finite dimensional decompositions.},

url = {http://eudml.org/doc/41656},

volume = {100},

year = {2006},

}

TY - JOUR

AU - Odell, Edward W.

AU - Schlumprecht, Thomas

TI - Embedding into Banach spaces with finite dimensional decompositions.

JO - RACSAM

PY - 2006

VL - 100

IS - 1-2

SP - 295

EP - 323

AB - 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?

LA - eng

KW - finite-dimensional decomposition; tree estimates; universal spaces; Szlenk index

UR - http://eudml.org/doc/41656

ER -