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Note on amenable algebras of operators

Published online by Cambridge University Press:  17 April 2009

P.C. Curtis Jr  and
R.J. Loy
P.C. Curtis Jr
Affiliation:
Department of Mathematics, University of California, Los Angeles CA 90024, United States of America, e-mail: [email protected]
R.J. Loy
Affiliation:
Department of Mathematics, Australian National University, ACT 0200, Australia, e-mail: [email protected]
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Abstract

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It is shown that an amenable algebra of operators on Hibert space which is generated by its normal elements is necessarily self-adjoint, so it is a C*-algebra.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 2 , October 1995 , pp. 327 - 329
Copyright
Copyright © Australian Mathematical Society 1995

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