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- W1495102408 abstract "Given a row contraction of operators on a Hilbert space and a family of projections on the space that stabilizes the operators, we show there is a unique minimal joint dilation to a row contraction of partial isometries that 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 we discuss how the basic properties of a dilation depend on the row contraction." @default.
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- W1495102408 date "2004-06-23" @default.
- W1495102408 modified "2023-09-23" @default.
- W1495102408 title "Partially isometric dilations of noncommuting 𝑁-tuples of operators" @default.
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- W1495102408 doi "https://doi.org/10.1090/s0002-9939-04-07547-1" @default.
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