Cascade Connection of Multiparametric Linear Systems and a Conservative Realization of Decomposable Inner Operator Functions in Bidisk

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dc.creatorKalyuzhniy, Dmitriy S.
dc.date2000-02-25
dc.date.accessioned2026-07-25T22:40:37Z
dc.descriptionWe introduce the notion of cascade connection of multiparametric discrete time-invariant linear dynamical systems with unit delay. This allows us to construct the explicit example of conservative realization of a decomposable operator-valued function $θ(z_1, z_2)=θ_2(z_2)θ_1(z_1)$, where $θ_1$ and $θ_2$ are inner operator-valued functions on the unit disk, vanishing at zero, and discuss some properties of such realization.
dc.descriptionIn Russian (English abstract), PostScript, 16 pages
dc.identifierhttps://arxiv.org/abs/math/0002208
dc.identifierhttp://arxiv.org/abs/math/0002208
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/91405
dc.subjectFunctional Analysis
dc.subject47A56; 93B15, 93C35
dc.titleCascade Connection of Multiparametric Linear Systems and a Conservative Realization of Decomposable Inner Operator Functions in Bidisk
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