A survey on the Szlenk index and some of its applications.
RACSAM (2006)
- Volume: 100, Issue: 1-2, page 209-235
- ISSN: 1578-7303
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topLancien, Gilles. "A survey on the Szlenk index and some of its applications.." RACSAM 100.1-2 (2006): 209-235. <http://eudml.org/doc/41653>.
@article{Lancien2006,
abstract = {We describe how the Szlenk index has been used in various areas of the geometry of Banach spaces. We cover the following domains of application of this notion: non existence of universal spaces, linear classification of C(K) spaces, descriptive set theory, renorming problems and non linear classification of Banach spaces.},
author = {Lancien, Gilles},
journal = {RACSAM},
keywords = {dentability; renorming; analysis sets; Kadec-Klee norm; LUR norm; descriptive set theory},
language = {eng},
number = {1-2},
pages = {209-235},
title = {A survey on the Szlenk index and some of its applications.},
url = {http://eudml.org/doc/41653},
volume = {100},
year = {2006},
}
TY - JOUR
AU - Lancien, Gilles
TI - A survey on the Szlenk index and some of its applications.
JO - RACSAM
PY - 2006
VL - 100
IS - 1-2
SP - 209
EP - 235
AB - We describe how the Szlenk index has been used in various areas of the geometry of Banach spaces. We cover the following domains of application of this notion: non existence of universal spaces, linear classification of C(K) spaces, descriptive set theory, renorming problems and non linear classification of Banach spaces.
LA - eng
KW - dentability; renorming; analysis sets; Kadec-Klee norm; LUR norm; descriptive set theory
UR - http://eudml.org/doc/41653
ER -
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