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
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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.