Citation
M. Bresar et P. Semrl, Elementary operators, P RS EDIN A, 129, 1999, pp. 1115-1135
Citations number
16
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105
→ ACNP
Volume
129
Year of publication
1999
Part
6
Pages
1115 - 1135
Database
ISI
SICI code
0308-2105(1999)129:<1115:EO>2.0.ZU;2-K
Abstract
We introduce the concept of an elementary operator between two algebras, an
d thereby extend the study of operators of the form
x bar right arrow Sigma(i=1)(n) a(i)xb(i),
where a(i), b(i) 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.