Introduction to Tensor Products of Banach Spaces - Couverture souple

Ryan, Raymond A. A.

Couverture souple

ISBN 10 : 1849968721 ISBN 13 : 9781849968720

Editeur : Springer, 2010

Synopsis

This book will be used in graduate courses for those who have studied functional analysis and are moving on to study tensor methods and Banach spaces. Also useful for those studying advanced functional analysis.

A propos du livre

Revue de presse

"The book under review is intended to serve as an introduction to the theory of tensor products of Banach spaces. ... it is a most welcome addition to the existing literature and appears to be well-suited as a guide and as a textbook in lectures, seminars, etc., for students ... . Each chapter is accompanied by a set of exercises. ... The book is very carefully written and edited. The text makes very good reading ... ." --Hans Jarchow, Zentralblatt MATH, Vol. 1090 (16), 2006

"This book provides a self-contained introduction to tensor products of Banach spaces. ... Each chapter is accompanied by exercises with illustrate mathematical concepts and propositions introduced there. The more or less straightforward solution of most of these exercises leads the reader to a better understanding of the material. ... It is accessible, clearly organized, and well written. It can be highly recommended to graduate students and mathematicians interested in functional analysis." --K. D Kürsten, Zeitschrift für Analysis und ihre Anwendungen, Vol. 24 (4), 2005

"The author sets out to give an accessible account of some chosen topics from the theory of tensor products for Banach spaces ... . The result is a very well written, beautiful book ... presenting a coherent, originally arranged and presented overview of various classical results. The book is self-contained and presented in a way that it at the same time is an accessible text for graduate students, as well as a very good basic reference for researchers ... ." --Mark Sioen, Simon Stevin Bulletin, Vol. 11 (2), 2004

Présentation de l'éditeur

This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 1849968721
• ISBN 13: 9781849968720
• Reliure: Broché
• Nombre de pages: 240
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne