Perturbation classes for semi-Fredholm operators on \(L_p(\mu)\)-spaces (Q984758)
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scientific article; zbMATH DE number 5757933
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation classes for semi-Fredholm operators on \(L_p(\mu)\)-spaces |
scientific article; zbMATH DE number 5757933 |
Statements
Perturbation classes for semi-Fredholm operators on \(L_p(\mu)\)-spaces (English)
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20 July 2010
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Perturbation classes were introduced in Fredholm theory in order to study the stability of Fredholm and semi-Fredholm operators under additive perturbations. In this paper, the authors study the perturbation class \(P\Phi_{+}(L_p,Y)\) for upper semi-Fredholm operators when \(\Phi_{+}(L_p,Y)\) is nonempty, and the relations of this class with strictly singular operators.
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semi-Fredholm operator
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perturbation class
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strictly singular operator
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