Representing a Product System Representation as a Contractive Semigroup and Applications to Regular Isometric Dilations
- Autores: Orr Moshe Shalit
- Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 53, Nº 3, 2010, págs. 550-563
- Idioma: inglés
- DOI: 10.4153/cmb-2010-060-8
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Resumen
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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