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

Orr Moshe Shalit

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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 ℕ k 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.

Original languageEnglish
Pages (from-to)550-563
Number of pages14
JournalCanadian Mathematical Bulletin
Volume53
Issue number3
DOIs
StatePublished - 1 Sep 2010
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)

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