Outer factorizations in one and several variables

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A multivariate version of Rosenblum's Fejer-Riesz theorem on outer factorization of trigonometric polynomials with operator coefficients is considered. Due to a simplification of the proof of the single variable case, new necessary and sufficient conditions for the multivariable outer factorization problem are formulated and proved.
19 pages

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Functional Analysis, Optimization and Control, 47A68, 47B35

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http://salesiana.dossiersoluciones.com/handle/123456789/70365

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403099
 http://arxiv.org/abs/math/0403099

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arXiv