Advances in Structured Operator Theory and Related Areas

1. Front Matter

   Pages i-xix

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2. Leonia Lerer’s Mathematical Work and Amsterdam Visits

   • M. A. Kaashoek

   Pages 1-7

3. Leonia Lerer and My First Visit to Israel

   • H. Bart

   Pages 9-10

4. Through the Eyes of a Student

   • Irina Karelin

   Pages 11-12

5. Reminiscences on Visits to Haifa

   • André C. M. Ran

   Pages 13-13

6. My First Research Experience

   • Hugo J. Woerdeman

   Pages 15-15

7. Interpolation in Sub-Bergman Spaces

   • Joseph A. Ball, Vladimir Bolotnikov

   Pages 17-39

8. Zero Sums of Idempotents and Banach Algebras Failing to be Spectrally Regular

   • H. Bart, T. Ehrhardt, B. Silbermann

   Pages 41-78

9. Fast Inversion of Polynomial-Vandermonde Matrices for Polynomial Systems Related to Order One Quasiseparable Matrices

   • T. Bella, Y. Eidelman, I. GohbergZ”L, V. Olshevsky, E. Tyrtyshnikov

   Pages 79-106

10. Long Proofs of Two Carlson–Schneider Type Inertia Theorems

    • Harry Dym, Motke Porat

    Pages 107-125

11. On the Kernel and Cokernel of Some Toeplitz Operators

    • Torsten Ehrhardt, Ilya M. Spitkovsky

    Pages 127-144

12. Rational Matrix Solutions of a Bezout Type Equation on the Half-plane

    • A. E. Frazho, M. A. Kaashoek, A. C. M. Ran

    Pages 145-160

13. Inverting Structured Operators Related to Toeplitz Plus Hankel Operators

    • M. A. Kaashoek, F. van Schagen

    Pages 161-187

14. On the Sign Characteristics of Selfadjoint Matrix Polynomials

    • Peter Lancaster, Ion Zaballa

    Pages 189-196

15. Quadratic Operators in Banach Spaces and Nonassociative Banach Algebras

    • Yu. I. Lyubich

    Pages 197-219

16. Strong Stability of Invariant Subspaces of Quaternion Matrices

    • Leiba Rodman

    Pages 221-239

17. Determinantal Representations of Stable Polynomials

    • Hugo J. Woerdeman

    Pages 241-246

This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material  and Lerer's list of publications complete the volume.

• Bezout equations and resultants
• idempotents and Banach algebras
• matrix polynomial equations
• stability of invariant subspaces
• structured matrices/operators

• Computer Sciences, Free University Amsterdam, Amsterdam, The Netherlands

  Marinus A. Kaashoek

• Department of Mathematics, College of William and Mary, Williamsburg, USA

  Leiba Rodman

• Mathematics Department, Drexel University, Philadelphia, USA

  Hugo J. Woerdeman

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