A gentle introduction to James’ weak compactness theorem and beyond

Authors

  • W. B. Moors Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland Mail Centre, Auckland 1142, New Zealand

DOI:

Keywords:

James theorem, weak compactness, Banach space, linear topology

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.

Downloads

Published

2019-03-25

Issue

Vol. 25 No. 1 (2019)

Section

Articles

How to Cite

Moors, W. B. “A Gentle Introduction to James’ Weak Compactness Theorem and Beyond”. Methods of Functional Analysis and Topology, vol. 25, no. 1, Mar. 2019, pp. 35-83, https://zen.imath.kiev.ua/index.php/mfat/article/view/711.