On the commutant of an irreducible set of operators in real Hilbert space

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Abstract

The relation between irreducibility and the structure of the commutant is studied for a set of linear bounded operators on a real Hilbert space of arbitrary dimension. The results are applied to the investigation of irreducible sets of semilinear operators on a complex or quaternionic Hilbert space.

Original languageEnglish
Pages (from-to)1107-1110
Number of pages4
JournalJournal of Mathematical Physics
Volume26
Issue number6
DOIs
StatePublished - 1985

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