Dilations, Completely Positive Maps and Geometry
This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it introduces the reader to the characteristic function, a classical object used by Sz.-Nagy and Foias a...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Singapore
Springer Nature Singapore
2023, 2023
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| Edition: | 1st ed. 2023 |
| Series: | Texts and Readings in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Dilation for One Operator
- C*-Algebras and Completely Positive Maps
- Dilation Theory in Two Variables - The Bidisc
- Dilation Theory in Several Variables - the Euclidean Ball
- The Euclidean Ball - The Drury Arveson Space
- Dilation Theory in Several Variables - The Symmetrized Bidisc
- An Abstract Dilation Theory