© 2012

Mathematical Methods in Systems, Optimization, and Control

Festschrift in Honor of J. William Helton

  • Harry Dym
  • Mauricio C. de Oliveira
  • Mihai Putinar


  • Original articles present a broad range of cutting-edge research

  • Surveys provide snapshots of the state of operator theory, engineering, and optimization

  • Areas of application include systems and control, mathematical biology, finance, combinatorics, and optimization


Part of the Operator Theory: Advances and Applications book series (OT, volume 222)

Table of contents

  1. Front Matter
    Pages i-x
  2. Biographical and Personal Notes

    1. Front Matter
      Pages 1-1
    2. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 3-12
    3. Miroslav Krstic
      Pages 13-15
    4. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 17-21
    5. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 23-28
    6. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 29-30
  3. Technical Papers

    1. Front Matter
      Pages 31-31
    2. Ronald G. Douglas, Jörg Eschmeier
      Pages 113-128
    3. A. E. Frazho, S. ter Horst, M. A. Kaashoek
      Pages 151-172
    4. P. A. Fuhrmann, U. Helmke
      Pages 173-187
    5. Martin Harrison
      Pages 189-194
    6. J. William Helton, Igor Klep, Scott McCullough
      Pages 195-219

About this book


This volume is dedicated to Bill Helton on the occasion of his sixty-fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control, and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty-odd years. These include interpolation, Szegö limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization.

The book should be useful to graduate students in mathematics and engineering, as well as to faculty and individuals seeking entry level introductions and references to the indicated topics. It can also serve as a supplementary text to numerous courses in pure and applied  mathematics and engineering, and as a source book for seminars.


interpolation theory non-commutative geometry operator theory optimization systems and control

Editors and affiliations

  • Harry Dym
    • 1
  • Mauricio C. de Oliveira
    • 2
  • Mihai Putinar
    • 3
  1. 1.Dept. MathematicsWeizmann Institute of ScienceRehovotIsrael
  2. 2., Department of Mechanical andUniversity of California San DiegoLa JollaUSA
  3. 3.College of Letters & Science, Dept. MathematicsUniversity of California, Santa BarbaraSanta BarbaraUSA

Bibliographic information


From the reviews:

“A good starting point to learn about Helton’s influential work at the edge of Operator theory and systems engineering. … Many of the main topics in this area are covered by the 19 contributions, all written by the main players in the field. … brought in the form of a tutorial, a survey, or even a shorter note, but all very readable and up-to-date. … it can be safely recommended to specialists and to students at an advanced mathematics or engineering level as well.” (A. Bultheel, The European Mathematical Society, September, 2012)