Partially Isometric Dilations of Noncommuting $N$-tuples of Operators

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dc.creatorJury, Michael T.
dc.creatorKribs, David W.
dc.date2003-09-24
dc.date.accessioned2026-07-07T06:42:22Z
dc.date.available2026-07-07T06:42:22Z
dc.descriptionGiven a row contraction of operators on Hilbert space and a family of projections on the space which stabilize the operators, we show there is a unique minimal joint dilation to a row contraction of partial isometries which satisfy natural relations. For a fixed row contraction the set of all dilations forms a partially ordered set with a largest and smallest element. A key technical device in our analysis is a connection with directed graphs. We use a Wold Decomposition for partial isometries to describe the models for these dilations, and discuss how the basic properties of a dilation depend on the row contraction.
dc.description12 pages, preprint
dc.identifierhttps://arxiv.org/abs/math/0309398
dc.identifierhttp://arxiv.org/abs/math/0309398
dc.identifierProc. Amer. Math. Soc., 133 (2005), 213-222.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102019
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A20, 47A45
dc.titlePartially Isometric Dilations of Noncommuting $N$-tuples of Operators
dc.typetext

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