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.
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Partially supported by the German Research Foundation (DFG) under Grant Nr. 436 RUS 17/67/98.
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Rabinovich, V.S., Roch, S. & Silbermann, B. Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Integr equ oper theory 40, 342–381 (2001). https://doi.org/10.1007/BF01299850
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DOI: https://doi.org/10.1007/BF01299850