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math.FA2020
A pointwise weak-majorization inequality for linear maps over Euclidean Jordan algebras
Muddappa Gowda, Jeong Juyoung
Given a linear map on a Euclidean Jordan algebra of rank , we consider the set of all nonnegative vectors in with decreasing components that satisfy the pointwise…
math.FA2020
Some log and weak majorization inequalities in Euclidean Jordan algebras
Jiyuan Tao, Juyoung Jeong, Muddappa Gowda
Motivated by Horn's log-majorization (singular value) inequality and the related weak-majorization inequality $s(AB)\underset{w}{\prec} s(A)*…
math.FA2018
On the connectedness of spectral sets and irreducibility of spectral cones in Euclidean Jordan algebras
Muddappa Gowda, Juyoung Jeong
Let V be a Euclidean Jordan algebra of rank n. The eigenvalue map from V to R^n takes any element x in V to the vector of eigenvalues of x written in the decreasing order. A spectr…