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The Perturbation Classes Problem for Closed Operators

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We compare the perturbation classes for closed semi-Fredholm and Fredholm operators with dense domain acting between Banach spaces with the corresponding perturbation classes for bounded semi-Fredholm and Fredholm operators. We… Click to show full abstract

We compare the perturbation classes for closed semi-Fredholm and Fredholm operators with dense domain acting between Banach spaces with the corresponding perturbation classes for bounded semi-Fredholm and Fredholm operators. We show that they coincide in some cases, but they are different in general. We describe several relevant examples and point out some open problems.

Keywords: classes problem; closed operators; fredholm; perturbation; problem closed; perturbation classes

Journal Title: Filomat
Year Published: 2017

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