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arXiv 2007-06-21 0 views

Representing a product system representation as a contractive semigroup and applications to regular isometric dilations

Shalit, Orr

Original · EN

In this paper we propose a new technical tool for analyzing representations of Hilbert C*-product systems. Using this tool, we give a new proof that every doubly commuting representation over Nᵏ has a regular isometric dilation, and we also prove sufficient conditions for the existence of a regular isometric dilation of representations over more general subsemigroups of R+ᵏ.

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