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Elementary operators

Published online by Cambridge University Press:  14 November 2011

M. Brešar  and
P. Šemrl
M. Brešar
Affiliation:
University of Maribor, PF, Koroška 160, 2000 Maribor, Slovenia
P. Šemrl
Affiliation:
University of Ljubljana, FMF, Jadranska 19, 1000 Ljubljana, Slovenia
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Extract

We introduce the concept of an elementary operator between two algebras, and thereby extend the study of operators of the form

where ai, bi are fixed elements in an algebra. Elementary operators on some classes of algebras are considered and their general form is described in some special cases.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 6 , 1999 , pp. 1115 - 1135
Copyright
Copyright © Royal Society of Edinburgh 1999

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