Open Access

A gentle introduction to James’ weak compactness theorem and beyond


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

TitleA gentle introduction to James’ weak compactness theorem and beyond
SourceMethods Funct. Anal. Topology, Vol. 25 (2019), no. 1, 35-83
MathSciNet   MR3935581
Milestones  Received 27/10/2017; Revised 02/08/2018
CopyrightThe 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


Export article

Save to Mendeley



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},
}


References

Coming Soon.

All Issues