abs_vol22_pp225-251. 21KB Jun 04 2011 12:05:49 AM

ELA

PSEUDOMONOTONICITY AND RELATED PROPERTIES

IN EUCLIDEAN JORDAN ALGEBRAS

∗

JIYUAN TAO†

Abstract. In this paper, we extend the concept of pseudomonotonicity fromRn

to the setting of Euclidean Jordan algebras. We study interconnections between pseudomonotonicity, monotonicity, and the Z-property.

Key words. Euclidean Jordan algebra, Pseudomonotone, Positive subdefinite (PSBD), Copos-itive, Copositive star, Automorphism, Z-property.

AMS subject classifications. 90C33, 17C20, 17C55.

∗_{Received by the editors on August 8, 2010. Accepted for publication on February 27, 2011.}

Handling Editor: Bit-Shun Tam.

†_{Department of Mathematical Sciences, Loyola University Maryland, Baltimore, MD 21210, USA}

(jtao@loyola.edu).

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 22, pp. 225-251, March 2011