Interpolation and Realization Theory with Applications to Control Theory
In Honor of Joe Ball
Editors: Bolotnikov, V., ter Horst, S., Ran, A.C.M., Vinnikov, V. (Eds.)
Free Preview- Includes fourteen original research papers by friends and colleagues of Joe Ball
- Honors the mathematical life of Joe Ball
- Presents latest results in the fields of operator theory
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- About this book
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This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday.
Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre.
Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends.
Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton.
- Table of contents (14 chapters)
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Holomorphic Operator-valued Functions Generated by Passive Selfadjoint Systems
Pages 1-42
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Free Bianalytic Maps between Spectrahedra and Spectraballs in a Generic Setting
Pages 43-60
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Szegő and Widom Theorems for the Neil Algebra
Pages 61-70
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Block Triangular Matrices in Banach Space: Minimal Completions and Factorability
Pages 71-98
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Multipliers of Drury–Arveson Space: A Survey
Pages 99-116
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Table of contents (14 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Interpolation and Realization Theory with Applications to Control Theory
- Book Subtitle
- In Honor of Joe Ball
- Editors
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- Vladimir Bolotnikov
- Sanne ter Horst
- André C.M. Ran
- Victor Vinnikov
- Series Title
- Operator Theory: Advances and Applications
- Series Volume
- 272
- Copyright
- 2019
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-11614-9
- DOI
- 10.1007/978-3-030-11614-9
- Hardcover ISBN
- 978-3-030-11613-2
- Series ISSN
- 0255-0156
- Edition Number
- 1
- Number of Pages
- XLI, 353
- Number of Illustrations
- 29 illustrations in colour
- Topics
