Remarks on reductive operator algebras

Abie Feintuch, Peter Rosenthal

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

It is shown that a weakly closed operator algebra with the property that each of its invariant subspaces is reducing and which is either strictly cyclic or has only closed invariant linear manifolds, must be a von Neumann algebra.

Original languageEnglish
Pages (from-to)130-136
Number of pages7
JournalIsrael Journal of Mathematics
Volume15
Issue number2
DOIs
StatePublished - 1 Jun 1973

ASJC Scopus subject areas

  • Mathematics (all)

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