Chaos for cosine operator functions on groups (Q1724507)
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scientific article; zbMATH DE number 7022705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaos for cosine operator functions on groups |
scientific article; zbMATH DE number 7022705 |
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Chaos for cosine operator functions on groups (English)
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14 February 2019
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Summary: Let \(1 \leq p < \infty\) and \(G\) be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space \(L^p(G)\), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously. We also give a necessary and sufficient condition for the direct sum of a sequence of cosine operator functions to be chaotic.
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locally compact group
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chaotic cosine operator functions
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chaotic weighted translations
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