Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections
- Cite this article as:
- Rabinovich, V.S., Roch, S. & Silbermann, B. Integr equ oper theory (2001) 40: 342. doi:10.1007/BF01299850
The central theme of the present paper are band and band-dominated operators, i.e. norm limits of band operators. In the first part, we generalize the results from  and  concerning the Fredholm properties of band-dominated operators and the applicability of the finite section method to the case of operators with operator-valued coefficients. We characterize these properties in terms of the limit operators of the given band-dominated operator. The main objective of the second part is to apply these results to pseudodifferential operators on cones in ℝn which is possible after a suitable discretization.