Spectral sets and the Drazin inverse with applications to second order differential equations. (Q558527)
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scientific article; zbMATH DE number 2185166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral sets and the Drazin inverse with applications to second order differential equations. |
scientific article; zbMATH DE number 2185166 |
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Spectral sets and the Drazin inverse with applications to second order differential equations. (English)
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1 July 2005
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The so-called Drazin inverse is defined for a closed linear operator \(A\) in a Banach space \(X\) in the case that zero belongs to a spectral set of the spectrum of \(A.\) Results are applied to extend a result of S. G. Krein on a nonhomogeneous second order differential equation in a Banach space.
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Banach space
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closed linear operator
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Drazin inverse
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spectral sets
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second order differential equation
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