Remarks on reductive operator algebras

Abie Feintuch; Peter Rosenthal

doi:10.1007/BF02764598

Remarks on reductive operator algebras

Abie Feintuch, Peter Rosenthal

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	130-136
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/BF02764598
State	Published - 1 Jun 1973

ASJC Scopus subject areas

General Mathematics

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Remarks on reductive operator algebras

Abstract

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