activity
19992026
most citedOblique projections and Schur complements

57 citations · 84 across the 29 of their papers we have counts for

collaborators

34 papers

math.FA2026

Hermitian indices and factorization of selfadjoint operators on a Kreĭn space

Michael A. Dritschel, Alejandra Maestripieri, James Rovnyak

The hermitian indices of a selfadjoint operator on a Kreĭn space are defined as geometric measures of positivity and negativity of the operator. A different pair o…

math.FA2025★ 1 cited

Rearrangement Invariant Orthogonal Sums in Krein Spaces. II

Michael A. Dritschel, Alejandra Maestripieri, James Rovnyak

Part I of the paper considered infinite orthogonal sums of regular subspaces in a Krein space (that is, of subspaces which are themselves Krein spaces). How precisely these sums sh…

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 acting on a Hilbert space $\mathcal{H…

math.FA2023

Semiclosed multivalued projections

M. Laura Arias, Maximiliano Contino, Alejandra Maestripieri +1

A multivalued projection is an idempotent linear relation with invariant domain. We characterize multivalued projections that are operator ranges (called semiclosed) and provide se…

math.OC2023

Quadratic programming with one quadratic constraint in Hilbert spaces

Santiago Gonzalez Zerbo, Alejandra Maestripieri, Francisco Martínez Pería

A quadratically constrained quadratic programming problem is considered in a Hilbert space setting, where neither the objective nor the constraint are convex functions. Necessary a…

math.FA2023

Matrix representations of multivalued projections and least squares problems

Maria Laura Arias, Maximiliano Contino, Alejandra Maestripieri +1

Multivalued projections are applied to the study of weighted least squares solutions of linear relations equations (or inclusions) and some of its applications. To this end a matri…