The James Forest

ISBN-13: 9780521587600 / Angielski / Miękka / 1997 / 268 str.

Helga Fetter; Berta Gamboa De Buen; Berta Gamboa De Buen

Opis

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. Generalizations 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.

Recenzje

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

Spis treści

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.