47 citations · 176 across the 17 of their papers we have counts for
6 papers · 1 filter
1-D Schrödinger operator on a star graph with nondefinite weight function
Edison Leguizamón, Carsten Trunk, Mitsuru Wilson +1
On a star graph with edges of unit length, we study the operator on and on $n…
Scattering theory for difference equations with operator coefficients
David Sher, Luis Silva, Boris Vertman +1
We consider a second order difference equation with operator-valued coefficients. More precisely, we study either compact or trace class perturbations of the discrete Laplacian in…
On the existence of eigenvalues of a one-dimensional Dirac operator
Daniel Sánchez-Mendoza, Monika Winklmeier
The aim of this paper is to study the existence of eigenvalues in the gap of the essential spectrum of the one-dimensional Dirac operator in the presence of a bounded potential. We…
Spectral inclusions of perturbed normal operators and applications
Javier Moreno, Monika Winklmeier
We consider a normal operator on a Hilbert space . Under various assumptions on the spectrum of , we give bounds for the spectrum of where is -bounded with r…
Dirac-Krein systems on star graphs
Vadym Adamyan, Heinz Langer, Christiane Tretter +1
We study the spectrum of a self-adjoint Dirac-Krein operator with potential on a compact star graph with a finite number of edges. This operator is defined by a Di…
Analyticity and Riesz basis property of semigroups associated to damped vibrations
Birgit Jacob, Carsten Trunk, Monika Winklmeier
Second order equations of the form in an abstract Hilbert space are considered. Such equations are often used as a model for transverse motions of thin beams…