Description of logmodular subalgebras in finite-dimensional c*-algebras

Kate Juschenko*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We show that every logmodular subalgebra of Mn(C) is unitary equivalent to an algebra of block upper triangular matrices, which was conjectured by V.I. Paulsen and M. Raghupathi in [5]. In particular, this shows that every unital contractive representation of a logmodular subalgebra of Mn(C) is automatically completely contractive.

Original languageEnglish (US)
Pages (from-to)1171-1176
Number of pages6
JournalIndiana University Mathematics Journal
Volume60
Issue number4
DOIs
StatePublished - 2011

Keywords

  • 37A05
  • 46B09
  • 46B15
  • 47A35
  • Hypercyclic and frequently hypercyclic operators
  • Linear dynamical systems
  • Measure-preserving and ergodic transformations. 1991 MATHEMATICS SUBJECT CLASSIFICATION: 47A16

ASJC Scopus subject areas

  • Mathematics(all)

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