Regular dilations of representations of product systems

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dc.creatorSolel, Baruch
dc.date2005-04-07
dc.date.accessioned2026-07-07T05:18:52Z
dc.date.available2026-07-07T05:18:52Z
dc.descriptionWe study completely contractive representations of product systems $X$ of correspondences over the semigroup $\mathbb{Z}_+^k$. We present a necessary and sufficient condition for such a representation to have a regular isometric dilation. We discuss representations that doubly commute and show that these representations induce completely contractive representations of the norm closed algebra generated by the image of the Fock representation of $X$.
dc.description30 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0504129
dc.identifierhttp://arxiv.org/abs/math/0504129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74818
dc.subjectOperator Algebras
dc.subject46L08, 47L55, 46L07, 47L65, 47L75, 47A45, 47L30
dc.titleRegular dilations of representations of product systems
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