Isometries on Banach Spaces: Function Spaces - Couverture rigide

Fleming, Richard J.; Jamison, James E.

Couverture rigide

ISBN 10 : 1584880406 ISBN 13 : 9781584880400

Editeur : Chapman & Hall/CRC, 2002

Synopsis

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric space must transform a continuous function x into a continuous function y satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and |h| is identically one. Isometries on Banach Spaces: Function Spaces is the first of two planned volumes that survey investigations of Banach-space isometries. This volume emphasizes the characterization of isometries and focuses on establishing the type of explicit, canonical form given above in a variety of settings. After an introductory discussion of isometries in general, four chapters are devoted to describing the isometries on classical function spaces. The final chapter explores isometries on Banach algebras. This treatment provides a clear account of historically important results, exposes the principal methods of attack, and includes some results that are more recent and some that are lesser known. Unique in its focus, this book will prove useful for experts as well as beginners in the field and for those who simply want to acquaint themselves with this area of Banach space theory.

A propos du livre

À propos de l?auteur

Fleming, Richard J.; Jamison, James E.

Détails de l'édition

• Éditeur: Chapman & Hall/CRC
• Date d'édition: 2002
• Langue: anglais
• ISBN 10: 1584880406
• ISBN 13: 9781584880400
• Reliure: Relié
• Nombre de pages: 208
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible