Article ID: | iaor200935008 |
Country: | United States |
Volume: | 31 |
Issue: | 1 |
Start Page Number: | 109 |
End Page Number: | 123 |
Publication Date: | Feb 2006 |
Journal: | Mathematics of Operations Research |
Authors: | Sznajder Roman, Gowda M Seetharama |
Generalizing the P–property of a matrix, Gowda et al. (2004) recently introduced and studied P– and globally uniquely solvable (GUS)–properties for linear transformations defined on Euclidean Jordan algebras. In this paper, we study the invariance of these properties under automorphisms of the algebra and of the symmetric cone. By means of these automorphisms and the concept of a principal subtransformation, we introduce and study ultra and super P–(GUS)–properties for a linear transformation on a Euclidean Jordan algebra.