The operator Fejer-Riesz theorem

2009/03/21 by Michael A. Dritschel, Dritschel, Michael A., James Rovnyak +1
Computer Science · Mathematics · #Matrix Theory and Algorithms #Holomorphic and Operator Theory #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.0903.3639

Abstract

The Fejer-Riesz theorem has inspired numerous generalizations in one and several variables, and for matrix- and operator-valued functions. This paper is a survey of some old and recent topics that center around Rosenblum's operator generalization of the classical Fejer-Riesz theorem.

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