On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example (Q2805375)
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scientific article; zbMATH DE number 6579287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example |
scientific article; zbMATH DE number 6579287 |
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11 May 2016
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resolvent
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differential operator
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non-Fredholm operator
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Witten index
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spectral shift function
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On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example (English)
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The authors studied recently an index theory for certain non-Fredholm operators [Oper. Matrices 10, No. 4, 881--914 (2016; Zbl 1356.47018)]. In the present paper, the authors continue investigating the index theory for non-Fredholm operators, but in a more general framework. The main goal of the present paper is to study a new approach adapted to certain differential operators using approximation techniques. Moreover, several earlier results obtained by the authors are reconsidered under stronger hypotheses. Also, the authors give an interesting example to illustrate the importance of these hypotheses.
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