Reductive algebras containing a direct sum of the unilateral shift and a certain other operator are selfadjoint

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Abstract

We give a partial solution of the reductive algebra problem to prove that: a reductive algebra containing the direct sum of a unilateral shift of finite multiplicity and a finite-dimensional completely nonunitary contraction is a von Neumann algebra.

Original languageEnglish (US)
Pages (from-to)284-286
Number of pages3
JournalProceedings of the American Mathematical Society
Volume93
Issue number2
DOIs
StatePublished - Feb 1985

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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