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math.FA2023
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…
math.FA2023
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})…