Introduction to Tensor Products of Banach Spaces
Language: English
Published by Springer, 2002
Series: Book 108 of 187 - Springer Monographs in Mathematics
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - This book is intended as an introduction to the theory of tensor products of Banach spaces. The prerequisites for reading the book are a first course in Functional Analysis and in Measure Theory, as far as the Radon-Nikodym theorem. The book is entirely self-contained and two appendices give addi tional material on Banach Spaces and Measure Theory that may be unfamil iar to the beginner. No knowledge of tensor products is assumed. Our viewpoint is that tensor products are a natural and productive way to understand many of the themes of modern Banach space theory and that 'tensorial thinking' yields insights into many otherwise mysterious phenom ena. We hope to convince the reader of the validity of this belief. We begin in Chapter 1 with a treatment of the purely algebraic theory of tensor products of vector spaces. We emphasize the use of the tensor product as a linearizing tool and we explain the use of tensor products in the duality theory of spaces of operators in finite dimensions. The ideas developed here, though simple, are fundamental for the rest of the book.…
Seller Inventory # 9781852334376
- Title
- Introduction to Tensor Products of Banach Spaces
- Author
- Raymond A. Ryan
- Publisher
- Springer
- Publication year
- 2002
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 1852334371
- ISBN 13
- 9781852334376
- Item weight
- 483 grams
- Dimensions
- 241x160x19 mm
- Series
- Book 108 of 187: Springer Monographs in Mathematics
"Synopsis" may belong to another edition of this title.
Review
"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
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