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

Kate Juschenko

doi:10.1512/iumj.2011.60.4347

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

Kate Juschenko^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	1171-1176
Number of pages	6
Journal	Indiana University Mathematics Journal
Volume	60
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2011.60.4347
State	Published - 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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10.1512/iumj.2011.60.4347

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AB - 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.

KW - 37A05

KW - 46B09

KW - 46B15

KW - 47A35

KW - Hypercyclic and frequently hypercyclic operators

KW - Linear dynamical systems

KW - Measure-preserving and ergodic transformations. 1991 MATHEMATICS SUBJECT CLASSIFICATION: 47A16

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

Abstract

Keywords

ASJC Scopus subject areas

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