Hostname: page-component-745bb68f8f-g4j75 Total loading time: 0 Render date: 2025-01-28T04:46:34.386Z Has data issue: false hasContentIssue false
  • English
  • Français

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; wshun@math.ucalgary.ca
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)