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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.


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Article Information

TitleA gentle introduction to James’ weak compactness theorem and beyond
SourceMethods Funct. Anal. Topology, Vol. 25 (2019), no. 1, 35-83
MilestonesReceived 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


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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},
       URL = {http://mfat.imath.kiev.ua/article/?id=1142},
}


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