E0-dilation of strongly commuting CP0-semigroups

Orr Moshe Shalit

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We prove that every strongly commuting pair of CP0-semigroups has a minimal E0-dilation. This is achieved in two major steps, interesting in themselves: (1) we show that a strongly commuting pair of CP0-semigroups can be represented via a two parameter product system representation; (2) we prove that every fully coisometric product system representation has a fully coisometric, isometric dilation. In particular, we obtain that every commuting pair of CP0-semigroups on B (H), H finite-dimensional, has an E0-dilation.

Original languageEnglish
Pages (from-to)46-89
Number of pages44
JournalJournal of Functional Analysis
Volume255
Issue number1
DOIs
StatePublished - 1 Jul 2008
Externally publishedYes

Keywords

  • CP-semigroups
  • Completely contractive covariant representation
  • Dilation
  • E-semigroups
  • Product system
  • Representation
  • Strong commutativity
  • Two-parameter semigroups

ASJC Scopus subject areas

  • Analysis

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