Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators. (Q1430381)
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scientific article; zbMATH DE number 2069728
| Language | Label | Description | Also known as |
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| English | Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators. |
scientific article; zbMATH DE number 2069728 |
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Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators. (English)
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27 May 2004
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The Shannon inequality asserts that if \(\{a_1,\dots, a_n\}\) and \(\{b_1,\dots, b_n\}\) are two probability vectors, then \(\sum^n_{j=1} a_j\log{b_j\over a_j}\leq 0\). The authors give parametric extensions of the Shannon inequality and its reverse for Hilbert space operators.
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Shannon inequality
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reverse type Shannon inequality
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operator concave function
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