Cosine operator families such that C(t)-I is compact, for all \(t>0\) (Q1062264)
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scientific article; zbMATH DE number 3913086
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cosine operator families such that C(t)-I is compact, for all \(t>0\) |
scientific article; zbMATH DE number 3913086 |
Statements
Cosine operator families such that C(t)-I is compact, for all \(t>0\) (English)
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1985
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We characterize the strongly continuous cosine families C of bounded linear operators for which C(t)-I is a compact operator for all \(t>0\). We prove that this property is equivalent to the compactness of the infinitesimal generator of the cosine family.
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strongly continuous cosine families
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compact operator
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compactness of the infinitesimal generator of the cosine family
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