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math.FA2024
On positive decompositions and proper splittings of Hermitian operators
Guillermina Fongi, María Celeste Gonzalez
In this article we study different aspects of Hermitian operators applying the concept of positive decompositions. On the one hand, we characterize the positivity of an Hermitian o…
math.FA2022
Moore-Penrose inverse and partial orders on Hilbert space operators
Guillermina Fongi, María Celeste Gonzalez
In this article we explore several aspects concerning to the Moore-Penrose inverse of a bounded linear operator. On the one hand, we study monotonicity properties of the Moore-Penr…