Advances in Structured Operator Theory and Related Areas: The Leonid Lerer Anniversary Volume (Operator Theory: Advances and Applications Book 237)

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. Introduction -- List Of Publications Of Leonid Lerer -- Contributions By Various Authors. Edited By Marinus A. Kaashoek, Leiba Rodman, Hugo J. Woerdeman. Front Matter....Pages i-xix Leonia Lerer’s Mathematical Work and Amsterdam Visits....Pages 1-7 Leonia Lerer and My First Visit to Israel....Pages 9-10 Through the Eyes of a Student....Pages 11-12 Reminiscences on Visits to Haifa....Pages 13-13 My First Research Experience....Pages 15-15 Interpolation in Sub-Bergman Spaces....Pages 17-39 Zero Sums of Idempotents and Banach Algebras Failing to be Spectrally Regular....Pages 41-78 Fast Inversion of Polynomial-Vandermonde Matrices for Polynomial Systems Related to Order One Quasiseparable Matrices....Pages 79-106 Long Proofs of Two Carlson–Schneider Type Inertia Theorems....Pages 107-125 On the Kernel and Cokernel of Some Toeplitz Operators....Pages 127-144 Rational Matrix Solutions of a Bezout Type Equation on the Half-plane....Pages 145-160 Inverting Structured Operators Related to Toeplitz Plus Hankel Operators....Pages 161-187 On the Sign Characteristics of Selfadjoint Matrix Polynomials....Pages 189-196 Quadratic Operators in Banach Spaces and Nonassociative Banach Algebras....Pages 197-219 Strong Stability of Invariant Subspaces of Quaternion Matrices....Pages 221-239 Determinantal Representations of Stable Polynomials....Pages 241-246