A positive map between Euclidean Jordan algebras is a (symmetric cone) order preserving
linear map. We show that the norm of such a map is attained at the unit element, thus …

Abstract In a Euclidean Jordan algebra V of rank n which carries the trace inner product, to
each element x we associate the eigenvalue vector λ (x) whose components are the …

In this paper, we extend the notion of weak majorization and doubly substochastic maps,
and the Hardy-Littlewood-Pólya theorem on majorization to Euclidean Jordan algebras. We …

Abstract In a Euclidean Jordan algebra V of rank n, an element x is said to be majorized by
an element y, symbolically x≺ y, if the corresponding eigenvalue vector λ (x) is majorized by …

Due to its simple yet elegant structure, the study of an entry-wise product of matrices, called
the Hadamard product, has received extensive attention from researchers and has …

Given a linear map T on a Euclidean Jordan algebra of rank n, we consider the set of all
nonnegative vectors q in R n with decreasing components that satisfy the pointwise weak …

Motivated by Horn's log-majorization (singular value) inequality s (AB)≺ log⁡ s (A)∗ s (B)
and the related weak-majorization inequality s (AB)≺ w⁡ s (A)∗ s (B) for square complex …

This paper is devoted to the study of the symmetric cone linear complementarity problem
(SCLCP). Specifically, our aim is to characterize the class of linear transformations for which …

Abstract In a recent paper [2], Chua and Yi introduced a norm P-property–called the uniform
nonsingularity property (UNS-property)–of a nonlinear transformation on a Euclidean Jordan …