Abstract
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 [24] and [25] 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.
| Original language | English |
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| Pages (from-to) | 342-381 |
| Number of pages | 40 |
| Journal | Integral Equations and Operator Theory |
| Volume | 40 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2001 |