Abstract
The purpose of this paper is twofold: firstly, to
provide an accessible proof
of James' weak compactness theorem that is able to be
taught in a first-year graduate class in functional analysis and secondly, to
explore some of the latest and possible future extensions
and applications of James' theorem.
Key words: James theorem, weak compactness, Banach space, linear topology.
Full Text
Article Information
| Title | A gentle introduction to James’ weak compactness theorem and beyond |
| Source | Methods Funct. Anal. Topology, Vol. 25 (2019), no. 1, 35-83 |
| MathSciNet |
MR3935581 |
| Milestones | Received 27/10/2017; Revised 02/08/2018 |
| Copyright | The Author(s) 2019 (CC BY-SA) |
Authors Information
Warren B. Moors
Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland Mail Centre, Auckland 1142, New Zealand
Citation Example
Warren B. Moors, A gentle introduction to James’ weak compactness theorem and beyond, Methods Funct. Anal. Topology 25
(2019), no. 1, 35-83.
BibTex
@article {MFAT1142,
AUTHOR = {Warren B. Moors},
TITLE = {A gentle introduction to James’ weak compactness theorem and beyond},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {25},
YEAR = {2019},
NUMBER = {1},
PAGES = {35-83},
ISSN = {1029-3531},
MRNUMBER = {MR3935581},
URL = {http://mfat.imath.kiev.ua/article/?id=1142},
}
