50 citations · 51 across the 4 of their papers we have counts for
6 papers
Spectral approximation of generalized Schrödinger operators via approximation of subwords
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of ge…
Finite Sections of Periodic Schrödinger Operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We study discrete Schrödinger operators with periodic potentials as they are typically used to approximate aperiodic Schrödinger operators like the Fibonacci Hamiltonian. We pr…
Finite section method for aperiodic Schrödinger operators
Fabian Gabel, Dennis Gallaun, Julian Großmann +2
We consider 1D discrete Schrödinger operators with aperiodic potentials given by a Sturmian word, which is a natural generalisation of the Fibonacci Hamiltonian. Via a standard app…
Oscillation theory for the density of states of high dimensional random operators
Julian Grossmann, Hermann Schulz-Baldes, Carlos Villegas-Blas
Sturm-Liouville oscillation theory is studied for Jacobi operators with block entries given by covariant operators on an infinite dimensional Hilbert space. It is shown that the in…
Index pairings in presence of symmetries with applications to topological insulators
Julian Grossmann, Hermann Schulz-Baldes
In a basic framework of a complex Hilbert space equipped with a complex conjugation and an involution, linear operators can be real, quaternionic, symmetric or anti-symmetric, and…
Finite rank perturbations and solutions to the operator Riccati equation
Julian P. Großmann
We consider an off-diagonal self-adjoint finite rank perturbation of a self-adjoint operator in a complex separable Hilbert space , where $\ma…