# 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 -