Full paper in PDF format:
$%S. Delpech, Asymptotic Uniform Moduli and Kottman Constant of Orlicz Sequence Spaces, Rev. Mat. Complut. 22 (2009), no. 2, 455–467.%$
Asymptotic Uniform Moduli and Kottman Constant of Orlicz Sequence Spaces
Sylvain DELPECH
26 bis rue Xavier Privas
69008 Lyon — France
sylvain.delpech@gmail.com
Received: June 23, 2008
Accepted: October 9, 2008

ABSTRACT

We give lower and upper bounds, involving moduli of asymptotic uniform convexity and smoothness, for the Kottman separation constant of Orlicz sequence spaces equipped with the Luxemburg norm.

Key words: Modulus of asymptotic uniform convexity, modulus of asymptotic uniform smoothness, Kottman constant, Orlicz sequence space.
2000 Mathematics Subject Classification:
46B20, 46B45.