Duality of conditional entropy associated with a commutative hypergroup (Q2839856)
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scientific article; zbMATH DE number 6187922
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Duality of conditional entropy associated with a commutative hypergroup |
scientific article; zbMATH DE number 6187922 |
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12 July 2013
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hypergroup
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entropy
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extension
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Duality of conditional entropy associated with a commutative hypergroup (English)
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Two notions of the conditional entropy of a finite commutative hypergroup \(K\) are introduced. The first notion is associated with the normalized Haar measure on \(K\) and the second one with the \(*\)-algebra of all measures on \(K\). The dual relations of these conditional entropies are discussed. It is shown that the structure of the hypergroup is characterized by these entropies.
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0.7119084000587463
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