Santiago Gonzalez Zerbo

activity

20202025

collaborators

4 papers

math.FA2025

Krein-Šmul'jan Theorem Revisited

Santiago gonzalez Zerbo, Alejandra Maestripieri, Francisco Martínez Pería

We present a generalization of Krein-Šmul'jan theorem which involves several operators. Given bounded selfadjoint operators $A, B_{1}, \dots, B_{m}$ acting on a Hilbert space $\mathcal{H…

math.FA2022

Indefinite least squares with a quadratic constraint

Santiago Gonzalez Zerbo, Alejandra Maestripieri, Francisco Martínez Pería

An abstract indefinite least squares problem with a quadratic constraint is considered. This is a quadratic programming problem with one quadratic equality constraint, where neithe…

math.FA2022

Linear pencils and quadratic programming problems with a quadratic constraint

Santiago Gonzalez Zerbo, Alejandra Maestripieri, Francisco Martínez Pería

Given bounded selfadjoint operators $A$ and $B$ acting on a Hilbert space $H$ , consider the linear pencil $P (λ) = A + λ B$ , $λ \in R$ . The set of parameters $λ$ such th…

math.FA2020

Regularization of an Indefinite Abstract Interpolation Problem with a Quadratic Constraint

Santiago Gonzalez Zerbo, Alejandra Maestripieri, Francisco Martínez Pería

Along this work we study an indefinite abstract smoothing problem. After establishing necessary and sufficient conditions for the existence of solutions to this problem, the set of…