Multiparametric Passive Linear Stationary Dynamical Scattering Systems: Discrete Case, II: Existence of Conservative Dilations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In the present paper we introduce the notion of dilation of a multiparametric linear stationary dynamical system (systems of this type, in particular passive, and conservative scattering ones were first introduced in func-an/9804130). We establish the criterion for existence of a conservative dilation of a multiparametric passive scattering system. This allows to distinguish the class of so-called $N$-passive systems preserving the most important properties of one-parametric passive scattering systems.
LaTeX2e; no pictures

Keywords

Functional Analysis, Operator Algebras, 47A20, 47A56, 93C35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/77583

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810119
 http://arxiv.org/abs/math/9810119

Collections

arXiv