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

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dc.creatorKalyuzhniy, Dmitriy S.
dc.date1998-10-19
dc.date1999-03-28
dc.date.accessioned2026-07-07T05:26:32Z
dc.date.available2026-07-07T05:26:32Z
dc.descriptionIn 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.
dc.descriptionLaTeX2e; no pictures
dc.identifierhttps://arxiv.org/abs/math/9810119
dc.identifierhttp://arxiv.org/abs/math/9810119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77583
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A20, 47A56, 93C35
dc.titleMultiparametric Passive Linear Stationary Dynamical Scattering Systems: Discrete Case, II: Existence of Conservative Dilations
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