A new proof of James' sup theorem
Functional Analysis
2007-05-23 v1
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 does not contain any asymptotically isometric copy of , then every bounded sequence of has a normalized block sequence pointwise converging to 0".
Keywords
Cite
@article{arxiv.math/0505176,
title = {A new proof of James' sup theorem},
author = {Marianne Morillon},
journal= {arXiv preprint arXiv:math/0505176},
year = {2007}
}