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.
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