On the completely-Q property for linear transformations on Euclidean Jordan algebras

In this article, we introduce and study ultra and super SSM-(cone GUS)-properties for linear transformations on Euclidean Jordan algebras. We show that the Jordan quadratic strict semimonotonicity (JQSSM)-property is equivalent to the completely-Q-property for linear transformations on any Euclidean...

Full description

Saved in:
Bibliographic Details
Published in:Linear algebra and its applications 2013-03, Vol.438 (5), p.2054-2071
Main Author: Tao, Jiyuan
Format: Article
Language:English
Subjects:
Automorphism
Complementarity problem
Completely-Q property
Cone GUS-property
Euclidean Jordan algebra
JLSSM-property
JQSSM-property
SSM-property
Super and ultra SSM-properties
Z-property
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we introduce and study ultra and super SSM-(cone GUS)-properties for linear transformations on Euclidean Jordan algebras. We show that the Jordan quadratic strict semimonotonicity (JQSSM)-property is equivalent to the completely-Q-property for linear transformations on any Euclidean Jordan algebra. Also, we investigate some interconnections between the SSM-property, the Jordan linear SSM (JLSSM)-property, and the completely-Q property on a Euclidean Jordan algebra. Moreover, we give a characterization of the completely-Q property on the Jordan spin algebra and study the completely-Q property for some special transformations on a Euclidean Jordan algebra.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2012.09.033