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

• 成果类型: Article
• 署名作者: Gowda, MS; Sznajder, R
• 署名单位: University System of Maryland; University of Maryland Baltimore County; University System of Maryland; Bowie State University
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1050.0182
• 发表日期: 2006
• 页码: 109-123
• 关键词: complementarity-problems; MONOTONICITY; cone

摘要

Generalizing the P-property of a matrix, Gowda et al. [Gowda, M. S., R. Sznajder, J. Tao. 2004. Some P-properties for linear transformations on Euclidean Jordan algebras. Linear Algebra Appl. 393 203-232] 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.