Introduction to Tensor Products of Banach Spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London
Springer London
2002
|
| Series: | Springer Monographs in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item 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 additional material on Banach Spaces and Measure Theory that may be unfamiliar 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 |
| Physical Description: | 1 Online-Ressource (XIV, 226 p) |
| ISBN: | 9781447139034 9781849968720 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-1-4471-3903-4 |
Staff View
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| id | DE-604.BV042419394 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781447139034 9781849968720 |
| issn | 1439-7382 |
| language | English |
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| series2 | Springer Monographs in Mathematics |
| spelling | Ryan, Raymond A. Verfasser aut Introduction to Tensor Products of Banach Spaces by Raymond A. Ryan London Springer London 2002 1 Online-Ressource (XIV, 226 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 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 additional material on Banach Spaces and Measure Theory that may be unfamiliar 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 Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Raum (DE-588)4004402-6 gnd rswk-swf Tensorprodukt (DE-588)4059478-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Tensorprodukt (DE-588)4059478-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4471-3903-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ryan, Raymond A. Introduction to Tensor Products of Banach Spaces Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Raum (DE-588)4004402-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4059478-6 |
| title | Introduction to Tensor Products of Banach Spaces |
| title_auth | Introduction to Tensor Products of Banach Spaces |
| title_exact_search | Introduction to Tensor Products of Banach Spaces |
| title_full | Introduction to Tensor Products of Banach Spaces by Raymond A. Ryan |
| title_fullStr | Introduction to Tensor Products of Banach Spaces by Raymond A. Ryan |
| title_full_unstemmed | Introduction to Tensor Products of Banach Spaces by Raymond A. Ryan |
| title_short | Introduction to Tensor Products of Banach Spaces |
| title_sort | introduction to tensor products of banach spaces |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Raum (DE-588)4004402-6 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Banach-Raum Tensorprodukt |
| url | https://doi.org/10.1007/978-1-4471-3903-4 |
| work_keys_str_mv | AT ryanraymonda introductiontotensorproductsofbanachspaces |