18 citations · 19 across the 12 of their papers we have counts for
20 papers
A note on common complements
Esteban Andruchow, Eduardo Chiumiento
We discuss the structure of the set consisting of pairs of closed subspaces that have a common complement in a Hilbert space previously studied by Lauzon and Treil (J. Funct. A…
Subspaces with or without a common complement
Esteban Andruchow, Eduardo Chiumiento
Let H be a separable complex Hilbert space. Denote by Gr(H) the Grassmann manifold of H. We study the following sets of pairs of elements in Gr(H): Delta={(S,T) in Gr(H) x Gr(H): t…
Homogeneous spaces in Hartree-Fock-Bogoliubov theory
Claudia D. Alvarado, Eduardo Chiumiento
We study the action of Bogoliubov transformations on admissible generalized one-particle density matrices arising in Hartree-Fock-Bogoliubov theory. We show that the orbits of this…
Geometric approach to the Moore-Penrose inverse and the polar decomposition of perturbations by operator ideals
Eduardo Chiumiento, Pedro Massey
We study the Moore-Penrose inverse of perturbations by a symmetrically-normed ideal of a closed range operator on a Hilbert space. We show that the notion of essential codimension…
Restricted orbits of closed range operators and equivalences between frames for subspaces
Eduardo Chiumiento, Pedro Massey
Let be a separable infinite-dimensional complex Hilbert space and let be a two-sided ideal of the algebra of bounded operators $\mathcal{B}(\mathcal{H})…
On restricted diagonalization
Eduardo Chiumiento, Pedro Massey
Let be a separable infinite-dimensional complex Hilbert space, the algebra of bounded linear operators acting on and $\mathca…