### 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 language | English (US) |
---|---|

Pages (from-to) | 284-286 |

Number of pages | 3 |

Journal | Proceedings of the American Mathematical Society |

Volume | 93 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1985 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Reductive algebras containing a direct sum of the unilateral shift and a certain other operator are selfadjoint

AU - Ansari, Mohamad A.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77951207726&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77951207726&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1985-0770537-6

DO - 10.1090/S0002-9939-1985-0770537-6

M3 - Article

AN - SCOPUS:77951207726

VL - 93

SP - 284

EP - 286

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -