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 . In particular, this shows that every unital contractive representation of a logmodular subalgebra of Mn(C) is automatically completely contractive.
- Hypercyclic and frequently hypercyclic operators
- Linear dynamical systems
- Measure-preserving and ergodic transformations. 1991 MATHEMATICS SUBJECT CLASSIFICATION: 47A16
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