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Extended Shannon entropies. I. (English) Zbl 0542.94007
This paper examines functionals (called extended Shannon entropies), defined for all probability spaces equipped with a measurable metric, and coinciding with Shannon entropy for finite probability spaces endowed with the metric \(d(x,y)=1\), \(x\neq y\).
Reviewer: C.L.Byrne

94A17 Measures of information, entropy
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