On the structure of behaviors Academic Article uri icon

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 noncommutative generalizations. © 2004 Elsevier Inc. All rights reserved. AMS classification: Primary: 93C05; Secondary: 93B25; 16W80; 13J10; 16P40 Keywords: Behaviors; Duality; Topological modules … Let k be a field. Put on k the discrete topology, and put on … ∗ Tel.: +972 7 646 1608; fax: +972 7 647 2910. E-mail address: amyekut@math.bgu.ac.il … 0024-3795/$ - see front matter 2004 Elsevier Inc. All rights reserved. doi:10.1016/j.laa.2004.06.004 … 160 A. Yekutieli / Linear Algebra and its Applications 392 (2004) 159–181 … A behavior (or discrete linear system) is a closed shift invariant k-submodule M ⊂ (kN)r for some natural number r. To be precise, this is a 1-dimensional behavior. For …

publication date

  • January 1, 2004