3 papers
math.FA2025
Factorizations of linear relations by idempotents
M. Laura Arias, Maximiliano Contino, Stefania Marcantognini
We study the class of those linear relations that can be factorized as products of idempotent relations. We provide several characterizations of this class, extending known factori…
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…
math.FA2022
Idempotent linear relations
Maria Laura Arias, Maximiliano Contino, Alejandra Maestripieri +1
A linear relation acting on a Hilbert space is idempotent if A triplet of subspaces is needed to characterize a given idempotent: $(\mathrm{ran} \, E, \mathrm{ran}(I-E…