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Szlenk indices and uniform homeomorphisms
Author(s):
G.
Godefroy;
N.
J.
Kalton;
G.
Lancien
Journal:
Trans. Amer. Math. Soc.
353
(2001),
3895-3918.
MSC (2000):
Primary 46B03, 46B20
Posted:
May 17, 2001
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Abstract:
We prove some rather precise renorming theorems for Banach spaces with Szlenk index We use these theorems to show the invariance of certain quantitative Szlenk-type indices under uniform homeomorphisms.
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Additional Information:
G.
Godefroy
Affiliation:
Equipe d'Analyse, Université Paris VI, Boite 186, 4, Place Jussieu, 75252 Paris Cedex 05, France
Email:
gig@ccr.jussieu.fr
N.
J.
Kalton
Affiliation:
Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
Email:
nigel@math.missouri.edu
G.
Lancien
Affiliation:
Equipe de Mathématiques - UMR 6623, Université de Franche-Comté, F-25030 Besançon cedex
Email:
GLancien@vega.univ-fcomte.fr
DOI:
10.1090/S0002-9947-01-02825-2
PII:
S 0002-9947(01)02825-2
Received by editor(s):
June 15, 1999
Received by editor(s) in revised form:
July 3, 2000
Posted:
May 17, 2001
Additional Notes:
The second author was supported by NSF grant DMS-9870027.
Copyright of article:
Copyright
2001,
American Mathematical Society
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