This is an announcement for the paper "A new proof of James' sup theorem"
by Marianne Morillon.
Abstract: We provide a new proof of James' sup theorem for (non
necessarily separable) Banach spaces. One of the ingredients is the
following generalization of a theorem of Hagler and Johnson (1977) :
"If a normed space $E$ does not contain any asymptotically isometric copy
of $\ell^1(\IN)$, then every bounded sequence of $E'$ has a normalized
block sequence pointwise converging to $0$".
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B ; 03E25
Report Number: ERMIT-MM-07jan2005
The source file(s), envoi.bbl: 2807 bytes, envoi.tex: 35905 bytes,
icone-ermit.eps: 24310 bytes, is(are) stored in gzipped form as
0505176.tar.gz with size 19kb. The corresponding postcript file has
gzipped size 69kb.
Submitted from: Marianne.Morillon(a)univ-reunion.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0505176
or
http://arXiv.org/abs/math.FA/0505176
or by email in unzipped form by transmitting an empty message with
subject line
uget 0505176
or in gzipped form by using subject line
get 0505176
to: math(a)arXiv.org.
