Abels, Helmut and Pfeuffer, Christine (2022) Invariance of the Fredholm index and spectrum of non-smooth pseudodifferential operators. ANALYSIS AND APPLICATIONS, 20 (03). pp. 429-464. ISSN 0219-5305, 1793-6861
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In this paper, we show the invariance of the Fredholm index of non-smooth pseudodifferential operators with coefficients in Holder spaces. By means of this invariance, we improve previous spectral invariance results for non-smooth pseudodifferential operators P with coefficients in Holder spaces. For this purpose, we approximate P with smooth pseudodifferential operators and use a spectral invariance result of smooth pseudodifferential operators. Then, we get the spectral invariance result in analogy to a proof of the spectral invariance result for non-smooth differential operators by Rabier.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAS; BOUNDEDNESS; SPACES; Non-smooth pseudodifferential operators; Fredholm index; spectral invariance |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Dec 2023 10:45 |
| Last Modified: | 12 Dec 2023 10:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57015 |
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