Operator Analysis
Language: English
Published by Cambridge University Press, GB, 2020
- Hardcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 193.23
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Add to basketItem description from seller
This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices.
Seller Inventory # LU-9781108485449
- Title
- Operator Analysis
- Author
- Nicholas John Young, Jim Agler, John Edward McCarthy
- Publisher
- Cambridge University Press, GB
- Publication year
- 2020
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1108485448
- ISBN 13
- 9781108485449
- Item weight
- 660 grams
- Series
- Book 43 of 46: Cambridge Tracts in Mathematics
"Synopsis" may belong to another edition of this title.
About the Author
John Edward McCarthy is the Spencer T. Olin Professor of Arts and Sciences at Washington University, St Louis, and chair of the Department of Mathematics and Statistics. He received the G. de B. Robinson award from the Canadian Mathematical Society (2016) and was co-author of Pick Interpolation and Hilbert Function Spaces (2002).
Nicholas John Young is Research Professor at Leeds University and Senior Research Investigator at University of Newcastle upon Tyne. He is the author of An Introduction to Hilbert Space (Cambridge, 1988) and approximately 100 research articles in analysis.
"About the title" may belong to another edition of this title.
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