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COMMUTING MAPS OF TRIANGULAR ALGEBRAS

Published online by Cambridge University Press:  19 March 2001

WAI-SHUN CHEUNG
WAI-SHUN CHEUNG
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada; [email protected]
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Abstract

Commuting maps on a class of algebras called triangular algebras are investigated. In particular, sufficient conditions are given such that every commuting map L on such an algebra is of the form L(a) = ax+h(a), where x lies in the center of the algebra and h is a linear map from the algebra to its center.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 117 - 127
Copyright
The London Mathematical Society 2001

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