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
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.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…