5 papers
On The Linearization of Alternative Means
Raluca Dumitru, Jose Franco, Allan Merino
Alternative means have recently attracted considerable attention in matrix analysis and operator theory. In this paper, we investigate the linearization problem for alternative mea…
Spectral Decomposition and Linearization of Kubo-Ando Means
Raluca Dumitru, Jose Franco, Allan Merino
In this paper, we study the structure of Kubo-Ando means on the cone of positive Hermitian matrices over the real numbers, complex numbers, and quaternions. Given a Kubo-Ando mean…
Correspondence of Kubo-Ando Means over Real Division Algebras and Linearization of Means
Jose Franco, Allan Merino
In this paper, we establish a bijection between Kubo-Ando operator means defined on the cones , , and $\mathscr{P}_{4n}(\…
The Cone of J-Hermitian Matrices and a Geometric Mean
Jose Franco, Allan Merino
We study the cone of positive J-Hermitian matrices associated with an indefinite signature matrix J = . We show that the J-exponential map…
Howe duality for the dual pair
Roman Lavicka, Allan Merino
The goal of our work is to study the decomposition of the joint action of and on the supersymmetric algebra $…