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Fredholm theory and finite section method for band-dominated operators |
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| Authors: | V. S. Rabinovich S. Roch B. Silbermann |
| Affiliation: | (1) Department of Mechanics and Mathematics, Rostov State University, Ul. Sorge 5, 344104 Rostov-na-Donu, Russia;(2) Mathematisches Institut A, Universität Stuttgart, Pfaffenwaldring 57, D 70569 Stuttgart, Germany;(3) Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, 09107 Chemnitz, Germany |
| Abstract: | The topics of this paper are Fredholm properties and the applicability of the finite section method for band operators onlp-spaces as well as for their norm limits which we call band-dominated operators. The derived criteria will be established in terms of the limit operators of the given band-dominated operator. After presenting the general theory, we present its specifications to concrete classes of band-dominated operators.To the memory of Professor Mark KreinSupported by the DFG grant 436 RUS/17/148/95Supported by a DFG Heisenberg grant |
| Keywords: | 47B37 47D30 65J10 65L12 |
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