3 papers
math.SP2020
On Lieb--Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schr{\" o}dinger operators
Sabine Bögli, František Štampach
We study to what extent Lieb--Thirring inequalities are extendable from self-adjoint to general (possibly non-self-adjoint) Jacobi and Schrödinger operators. Namely, we prove the c…
math.SP2017
The characteristic function for complex doubly infinite Jacobi matrices
František Štampach
We introduce a class of doubly infinite complex Jacobi matrices determined by a simple convergence condition imposed on the diagonal and off-diagonal sequences. For each Jacobi mat…
math.SP2016
Spectral analysis of two doubly infinite Jacobi matrices with exponential entries
Mourad E. H. Ismail, František Štampach
We provide a complete spectral analysis of all self-adjoint operators acting on which are associated with two doubly infinite Jacobi matrices with entries gi…