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

Ansari, Mohamad A.

doi:10.1090/S0002-9939-1985-0770537-6

Reductive algebras containing a direct sum of the unilateral shift and a certain other operator are selfadjoint
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by Mohamad A. Ansari PDF

Proc. Amer. Math. Soc. 93 (1985), 284-286 Request permission

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.

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Invariant subspaces

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