47 citations · 426 across the 46 of their papers we have counts for
8 papers · 1 filter
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…
On a comparison between absolute and relative self-adjoint extension schemes
Noè Angelo Caruso, Alessandro Michelangeli, Andrea Ottolini
The problem of connecting the operator parameters that label the same self-adjoint extension of a given symmetric operator, respectively, within the 'absolute' von Neumann extensio…
Inverse linear problems on Hilbert space and their Krylov solvability
Noe Angelo Caruso, Alessandro Michelangeli
This monograph is centred at the intersection of three mathematical topics, that are theoretical in nature, yet with motivations and relevance deep rooted in applications: the line…
Krylov solvability under perturbations of abstract inverse linear problems
Noe Angelo Caruso, Alessandro Michelangeli
When a solution to an abstract inverse linear problem on Hilbert space is approximable by finite linear combinations of vectors from the cyclic subspace associated with the datum a…
Self-adjoint extensions with Friedrichs lower bound
Matteo Gallone, Alessandro Michelangeli
We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lo…
Point-like perturbed fractional Laplacians through shrinking potentials of finite range
Alessandro Michelangeli, Raffaele Scandone
We reconstruct the rank-one, singular (point-like) perturbations of the -dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schrödi…
Fractional powers and singular perturbations of quantum differential Hamiltonians
Alessandro Michelangeli, Andrea Ottolini, Raffaele Scandone
We consider the fractional powers of singular (point-like) perturbations of the Laplacian, and the singular perturbations of fractional powers of the Laplacian, and we compare such…
On fractional powers of singular perturbations of the Laplacian
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian w…