3 papers
math.FA2026
Some results on Krylov solvability in Banach space and connections to spectral theory
Noe Angelo Caruso
This article contains the first steps in a general analysis of the problem of Krylov solvability of the inverse linear problem in a Banach space. In contrast to the well-studied Hi…
math.FA2024
Structural properties of Krylov subspaces, Krylov solvability, and applications to unbounded self-adjoint operators
Noè Angelo Caruso
This paper presents a study of the inherent structural properties of Krylov subspaces, in particular for the self-adjoint class of operators, and how they relate with the important…
math.FA2024
Open problems and perspectives on solving Friedrichs systems by Krylov approximation
Noe Angelo Caruso, Alessandro Michelangeli
We set up, at the abstract Hilbert space setting, the general question on when an inverse linear problem induced by an operator of Friedrichs type admits solutions belonging to (th…