Automorphism invariance of P- and GUS-properties of linear transformations on Euclidean Jordan algebras

Automorphism invariance of P- and GUS-properties of linear transformations on Euclidean Jordan algebras

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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: ,
Abstract:

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.

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