| 书目名称 | Introduction to Tensor Products of Banach Spaces |
| 编辑 | Raymond A. Ryan |
| 视频video | |
| 概述 | The first truly introductory book in this field - first graduate courses everywhere are looking for such a text.Includes worked examples and many exercises.The Radon-Nikodym Property is central to the |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2002 |
| 关键词 | Banach Space; Tensor Products; approximation property; functional analysis; measure |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4471-3903-4 |
| isbn_softcover | 978-1-84996-872-0 |
| isbn_ebook | 978-1-4471-3903-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag London 2002 |
发表于 2025-3-21 18:11:08
