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Introduction to Tensor Products of Banach Spaces by Raymond A. Ryan
Introduction to Tensor Products of Banach Spaces by Raymond A. Ryan
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Introduction to Tensor Products of Banach Spaces

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Description

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.
Release date NZ
October 21st, 2010
Audience
  • Professional & Vocational
Edition
Softcover reprint of hardcover 1st ed. 2002
Illustrations
XIV, 226 p.
Pages
226
Dimensions
156x234x12
ISBN-13
9781849968720
Product ID
8938646

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Introduction to Tensor Products of Banach Spaces on Hardback by Raymond A. Ryan
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