Operator Analysis: Hilbert Space Methods in Complex Analysis

Author:   Jim Agler (University of California, San Diego) ,  John Edward McCarthy (Washington University, St Louis) ,  Nicholas John Young
Publisher:   Cambridge University Press
ISBN:  

9781108485449


Pages:   388
Publication Date:   26 March 2020
Format:   Hardback
Availability:   In stock   Availability explained
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Operator Analysis: Hilbert Space Methods in Complex Analysis


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Author:   Jim Agler (University of California, San Diego) ,  John Edward McCarthy (Washington University, St Louis) ,  Nicholas John Young
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 15.70cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.660kg
ISBN:  

9781108485449


ISBN 10:   1108485448
Pages:   388
Publication Date:   26 March 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Part I. Commutative Theory: 1. The origins of operator-theoretic approaches to function theory; 2. Operator analysis on D: model formulas, lurking Isometries, and positivity arguments; 3. Further development of models on the disc; 4. Operator analysis on D2; 5. Caratheodory-Julia theory on the disc and the bidisc; 6. Herglotz and Nevanlinna representations in several variables; 7. Model theory on the symmetrized bidisc; 8. Spectral sets: three case studies; 9. Calcular norms; 10. Operator monotone functions; Part II. Non-Commutative Theory: 11. Motivation for non-commutative functions; 12. Basic properties of non-commutative functions; 13. Montel theorems; 14. Free holomorphic functions; 15. The implicit function theorem; 16. Noncommutative functional calculus; Notation.

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Jim Agler is Distinguished Professor Emeritus at the University of California, San Diego. He received the G. de B. Robinson award from the Canadian Mathematical Society in 2016 and delivered the 2017 London Mathematical Society Invited Lectures. He is the co-author of Pick Interpolation and Hilbert Function Spaces (2002). 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.

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