The operator Fejer-Riesz theorem
Functional Analysis
2009-03-24 v1
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.
Keywords
Cite
@article{arxiv.0903.3639,
title = {The operator Fejer-Riesz theorem},
author = {Michael A. Dritschel and James Rovnyak},
journal= {arXiv preprint arXiv:0903.3639},
year = {2009}
}
Comments
33 pages. To appear in the The Paul R. Halmos memorial volume in the series Operator Theory: Advances and Applications, published by Birhauser, edited by Sheldon Axler, Peter Rosenthal and Donald Sarason