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arxiv: 0903.3639 · v1 · submitted 2009-03-21 · 🧮 math.FA

The operator Fejer-Riesz theorem

classification 🧮 math.FA
keywords fejer-riesztheoremoperatoraroundcenterclassicalfunctionsgeneralization
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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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