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Proceedings of the American Mathematical Society

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


Author: Mohamad A. Ansari
Journal: Proc. Amer. Math. Soc. 93 (1985), 284-286
MSC: Primary 47C15; Secondary 46L10, 47D25
DOI: https://doi.org/10.1090/S0002-9939-1985-0770537-6
MathSciNet review: 770537
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0770537-6
Article copyright: © Copyright 1985 American Mathematical Society