On the Structure of Behaviors
Optimization and Control
2007-05-23 v2 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0401109,
title = {On the Structure of Behaviors},
author = {Amnon Yekutieli},
journal= {arXiv preprint arXiv:math/0401109},
year = {2007}
}
Comments
19 pages, minor changes