Some strongly bounded classes of Banach spaces
Pandelis Dodos; Valentin Ferenczi
Fundamenta Mathematicae (2007)
- Volume: 193, Issue: 2, page 171-179
- ISSN: 0016-2736
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topPandelis Dodos, and Valentin Ferenczi. "Some strongly bounded classes of Banach spaces." Fundamenta Mathematicae 193.2 (2007): 171-179. <http://eudml.org/doc/282956>.
@article{PandelisDodos2007,
abstract = {We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.},
author = {Pandelis Dodos, Valentin Ferenczi},
journal = {Fundamenta Mathematicae},
keywords = {universal Banach space; strongly bounded class; Szlenk index; Effros-Borel structure},
language = {eng},
number = {2},
pages = {171-179},
title = {Some strongly bounded classes of Banach spaces},
url = {http://eudml.org/doc/282956},
volume = {193},
year = {2007},
}
TY - JOUR
AU - Pandelis Dodos
AU - Valentin Ferenczi
TI - Some strongly bounded classes of Banach spaces
JO - Fundamenta Mathematicae
PY - 2007
VL - 193
IS - 2
SP - 171
EP - 179
AB - We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.
LA - eng
KW - universal Banach space; strongly bounded class; Szlenk index; Effros-Borel structure
UR - http://eudml.org/doc/282956
ER -
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