Geodesic
On entropy-like functionals and codes for metrized probability spaces II
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 79-95 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In Part I, we have proved characterization theorems for entropy-like functionals $\delta $, $\lambda $, $E$, $\Delta $ and $\Lambda $ restricted to the class consisting of all finite spaces $P\in \frak W$, the class of all semimetric spaces equipped with a bounded measure. These theorems are now extended to the case of $\delta $, $\lambda $ and $E$ defined on the whole of $\frak W$, and of $\Delta $ and $\Lambda $ restricted to a certain fairly wide subclass of $\frak W$.
In Part I, we have proved characterization theorems for entropy-like functionals $\delta $, $\lambda $, $E$, $\Delta $ and $\Lambda $ restricted to the class consisting of all finite spaces $P\in \frak W$, the class of all semimetric spaces equipped with a bounded measure. These theorems are now extended to the case of $\delta $, $\lambda $ and $E$ defined on the whole of $\frak W$, and of $\Delta $ and $\Lambda $ restricted to a certain fairly wide subclass of $\frak W$.
Classification : 54E35, 94A17
Keywords: regular code; dyadic expansion; entropy 
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Katětov, Miroslav. On entropy-like functionals and codes for metrized probability spaces II. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 79-95. http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a10/

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