Approximation structures and applications to evolution equations (Q1773460)
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scientific article; zbMATH DE number 2163609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation structures and applications to evolution equations |
scientific article; zbMATH DE number 2163609 |
Statements
Approximation structures and applications to evolution equations (English)
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29 April 2005
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The authors prove some results regarding the \(A\)-properness of the Dirac mass operator and the positive decomposition of \(A\)-proper operators. They describe a method of approximating arbitrary continuous operators by \(A\)-proper mappings and obtain a generalized Leray-Schauder principle. Finally, they establish the existence of approximate solutions for linear evolution equations in Banach spaces.
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\(A\)-proper operator
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compact operator
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Dirac mass operator
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linear evolution equation
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Banach space
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