Titlebook: Mathematical Methods in Systems, Optimization, and Control; Festschrift in Honor Harry Dym,Mauricio C. Oliveira,Mihai Putinar Book 2012 Spr

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0255-0156 optimization.Areas of application include systems and contr.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 a

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Optimal Solutions to Matrix-valued Nehari Problems and Related Limit Theoremsved using relaxed commutant lifting theory. This observation is used to extent the Helton and Young approximation result to a matrix-valued setting. As in the Helton and Young paper the rate of convergence depends on the choice of the initial space in the approximation scheme.

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Book 2012, 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 las

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Pfister’s Theorem Fails in the Free Caseomial . so that ... is a sum of at most 2. squares. As shown by D’Angelo and Lebl, the analog of Pfister’s theorem fails in the case of Hermitian polynomials. Specifically, it was shown that the rank of any multiple of the polynomial . is bounded below by a quantity depending on .. Here we prove that a similar result holds in a free *-algebra.

Implicit

Bill’s Early WorkHi everybody. My name is Jim Agler. I have known Bill for 28 years now, and, well frankly, can think of no one that has influenced my mathematical perspectives more than Bill. Bill also was enormously helpful when I was still a youngma thematician in helping me to establish my career. For those gifts Bill, I am very grateful.