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

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 - Jan 1 1985

Fingerprint

Direct Sum
Algebra
Von Neumann Algebra
Operator
Contraction
Multiplicity
Partial

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{4b43fb69a0394e8b922c525c79451cfa,
title = "Reductive algebras containing a direct sum of the unilateral shift and a certain other operator are selfadjoint",
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.",
author = "Ansari, {Mohamad A.}",
year = "1985",
month = "1",
day = "1",
doi = "10.1090/S0002-9939-1985-0770537-6",
language = "English (US)",
volume = "93",
pages = "284--286",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "2",

}

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 -