The operator Fejer-Riesz theorem

Details The operator Fejer-Riesz theorem The operator Fejer-Riesz theorem

2009-03-21

arxiv.org/abs/0903.3639v1

Mathematics

Functional Analysis

33 pages. To appear in the The Paul R. Halmos memorial volume in the series Operator Theory: Advances and Applications, publis

Scientific paper

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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