On the Structure of Behaviors

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A behavior is a closed shift invariant subspace of the space of sequences with entries in a field k. We work out an explicit duality for k-modules. This duality is then used to derive properties of behaviors, and their high dimensional and noncommutative generalizations.
19 pages, minor changes

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Optimization and Control, Rings and Algebras, Primary: 93C05; Secondary: 93B25, 16W80, 13J10, 16P40

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http://salesiana.dossiersoluciones.com/handle/123456789/69822

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401109
 http://arxiv.org/abs/math/0401109

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arXiv