Finite sections of band-dominated operators
The goal of this talk is to review recent advances and to present
new results in the numerical analysis of the finite sections method
for general band and band-dominated operators. The main topics are
the stability of the finite sections method and the asymptotic
behavior of singular values. The latter topic is closely related
with compactness and Fredholm properties of approximation
sequences. Special emphasis is paid to band-dominated operators
with coefficients in the classes of slowly oscillating functions
and almost periodic functions, respectively.
