Operator Theory: Advances and Applications

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.)

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  • 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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  • ISBN 978-3-030-11614-9
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Hardcover $109.99
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About this book

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)

Table of contents (14 chapters)
  • Holomorphic Operator-valued Functions Generated by Passive Selfadjoint Systems

    Arlinskiĭ, Yuri (et al.)

    Pages 1-42

  • Free Bianalytic Maps between Spectrahedra and Spectraballs in a Generic Setting

    Augat, Meric (et al.)

    Pages 43-60

  • Szegő and Widom Theorems for the Neil Algebra

    Balasubramanian, Sriram (et al.)

    Pages 61-70

  • Block Triangular Matrices in Banach Space: Minimal Completions and Factorability

    Cohen, Nir

    Pages 71-98

  • Multipliers of Drury–Arveson Space: A Survey

    Fang, Quanlei

    Pages 99-116

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-030-11614-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-030-11613-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Interpolation and Realization Theory with Applications to Control Theory
Book Subtitle
In Honor of Joe Ball
Editors
  • 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