Universal spaces for strictly convex Banach Spaces.

Godefroy, Gilles. "Universal spaces for strictly convex Banach Spaces.." RACSAM 100.1-2 (2006): 137-146. <http://eudml.org/doc/41647>.

@article{Godefroy2006,
abstract = {We show that if a separable Banach space X contains an isometric copy of every strictly convex separable Banach space, then X contains an isometric copy of l1 equipped with its natural norm. In particular, the class of strictly convex separable Banach spaces has no universal element. This provides a negative answer to a question asked by J. Lindenstrauss.},
author = {Godefroy, Gilles},
journal = {RACSAM},
keywords = {strictly convex spaces; universal spaces; well-founded trees},
language = {eng},
number = {1-2},
pages = {137-146},
title = {Universal spaces for strictly convex Banach Spaces.},
url = {http://eudml.org/doc/41647},
volume = {100},
year = {2006},
}

TY - JOUR
AU - Godefroy, Gilles
TI - Universal spaces for strictly convex Banach Spaces.
JO - RACSAM
PY - 2006
VL - 100
IS - 1-2
SP - 137
EP - 146
AB - We show that if a separable Banach space X contains an isometric copy of every strictly convex separable Banach space, then X contains an isometric copy of l1 equipped with its natural norm. In particular, the class of strictly convex separable Banach spaces has no universal element. This provides a negative answer to a question asked by J. Lindenstrauss.
LA - eng
KW - strictly convex spaces; universal spaces; well-founded trees
UR - http://eudml.org/doc/41647
ER -