The James Forest

Everything that you ever wanted to know about pathological Banach spaces.

Helga Fetter (Author), Berta Gamboa de Buen (Author), R. C. James (Preface by)

9780521587600, Cambridge University Press

Paperback, published 5 June 1997

268 pages
22.9 x 15.3 x 1.6 cm, 0.37 kg

'… contains a wealth of material for those people who are interested in (geometric) Banach space theory.' J. van Casteren, Niew Archief voor Wiskunde

The James space J and the James tree space JT were constructed as counterexamples to several outstanding conjectures in Banach space theory. This book is a compendium of most of the known results about these spaces, frequently taken from the original sources, but presented in a unified and up to date fashion. Generalisations of J and JT are also discussed and other pathological Banach spaces are introduced. Specialists will welcome this book for its drawing together of classical material and recent results. Graduate students should also find that this book offers an excellent introduction to more advanced topics in Banach space theory.

Introduction
1. Preliminaries
2. The James space J
3. The James tree space JT
4. What else is there about J and JT
5. Other pathological spaces.

Subject Areas: Calculus & mathematical analysis [PBK]