Bilinear Maps and Tensor Products in Operator Theory
This text covers a first course in bilinear maps and tensor products intending to bring the reader from the beginning of functional analysis to the frontiers of exploration with tensor products. Tensor products, particularly in infinite-dimensional normed spaces, are heavily based on bilinear maps....
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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2023, 2023
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Edition: | 1st ed. 2023 |
Series: | Universitext
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- 1. Linear-Space Results
- 2. Bilinear Maps: Algebraic Aspects
- 3. Algebraic Tensor Product
- 4. Interpretations
- 5. Normed-Space Results
- 6. Bounded Bilinear Maps
- 7. Norms on Tensor Products
- 8. Operator Norms
- 9. Tensor Product Operators
- References
- List of Symbols
- Index