Characterizations of almost periodic strongly continuous cosine operator functions (Q1083677)
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scientific article; zbMATH DE number 3975713
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of almost periodic strongly continuous cosine operator functions |
scientific article; zbMATH DE number 3975713 |
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Characterizations of almost periodic strongly continuous cosine operator functions (English)
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1986
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The almost periodic and uniformly almost periodic cosine operator functions are characterized in terms of their infinitesimal generator; the results extend those due to \textit{H. Bart} and \textit{S. Goldberg} [Math. Ann. 236, 105-116 (1978; Zbl 0365.47019)] for the case of semi- groups of class \(c_ 0\). The main result is: A strongly continuous cosine operator function is almost periodic iff it is uniformly bounded and its infinitesimal generator has a total set of eigenvectors.
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uniformly almost periodic cosine operator functions
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infinitesimal generator
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uniformly bounded
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total set of eigenvectors
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