1 citations · 1 across the 5 of their papers we have counts for
8 papers
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 acting on a Hilbert space $\mathcal{H…
On characteristic invariants of matrix pencils and linear relations
Hannes Gernandt, Francisco Martínez Pería, Friedrich Philipp +1
The relationship between linear relations and matrix pencils is investigated. Given a linear relation, we introduce its Weyr characteristic. If the linear relation is the range (or…
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…
Linear pencils and quadratic programming problems with a quadratic constraint
Santiago Gonzalez Zerbo, Alejandra Maestripieri, Francisco Martínez Pería
Given bounded selfadjoint operators and acting on a Hilbert space , consider the linear pencil , . The set of parameters such th…
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…
Spectral enclosures for a class of block operator matrices
Juan Giribet, Matthias Langer, Francisco Martínez Pería +2
We prove new spectral enclosures for the non-real spectrum of a class of block operator matrices with self-adjoint operators and on the diagonal and operators $B…