Mathematical Methods in Systems, Optimization, and Control

Festschrift in Honor of J. William Helton

Editors:

ISBN: 978-3-0348-0410-3 (Print) 978-3-0348-0411-0 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages i-x

  2. Biographical and Personal Notes

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-12

      Helton’s Bibliography

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      Book Chapter

      Pages 13-15

      Personal Notes

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      Book Chapter

      Pages 17-21

      After Dinner Biographical Notes

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      Book Chapter

      Pages 23-28

      Bill’s Early Work

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      Book Chapter

      Pages 29-30

      List of Contributors

  3. Technical Papers

    1. Front Matter

      Pages 31-31

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      Book Chapter

      Pages 33-41

      The Carathéodory-Julia Theorem and the Network Realization Formula in Two Variables

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      Book Chapter

      Pages 43-71

      Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey

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      Book Chapter

      Pages 73-83

      A Brief History of the Strong Szegö Limit Theorem

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      Book Chapter

      Pages 85-112

      Riccati or Square Root Equation? The Semi-separable Case

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      Book Chapter

      Pages 113-128

      Spectral Inclusion Theorems

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      Book Chapter

      Pages 129-149

      Tutorial on a Nehari Problem and Related Reproducing Kernel Spaces

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      Book Chapter

      Pages 151-172

      Optimal Solutions to Matrix-valued Nehari Problems and Related Limit Theorems

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      Book Chapter

      Pages 173-187

      On Theorems of Halmos and Roth

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      Book Chapter

      Pages 189-194

      Pfister’s Theorem Fails in the Free Case

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      Book Chapter

      Pages 195-219

      Free Analysis, Convexity and LMI Domains

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      Book Chapter

      Pages 221-231

      Traces of Commutators of Integral Operators – the Aftermath

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      Book Chapter

      Pages 233-246

      Information States in Control Theory: From Classical to Quantum

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      Book Chapter

      Pages 247-258

      Convex Hulls of Quadratically Parameterized Sets With Quadratic Constraints

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      Book Chapter

      Pages 259-277

      Computing Linear Matrix Representations of Helton-Vinnikov Curves

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      Book Chapter

      Pages 279-293

      Positive Completion Problems Over C*-algebras

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