4 papers
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…
On partial orders of operators
M. Laura Arias, Alejandra Maestripieri
Characterizations of the star, minus and diamond orders of operators are given in various contexts and the relationship between these orders is made more transparent. Moreover, we…
Proper splittings and reduced solutions of matrix equations
M. Laura Arias, M. Celeste Gonzalez
In this article we apply proper splittings of matrices to develop an iterative process to approximate solutions of matrix equations of the form TX = W. Moreover, by using the parti…
Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula
M. Laura Arias, Gustavo Corach, Alejandra Maestripieri
We say that two operators A, B have the range additivity property if R(A + B) = R(A) + R(B). In this article we study the relationship between range additivity, shorted operator an…