Embedding into Banach spaces with finite dimensional decompositions.

Odell, 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 -