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 $\frak W$.
@article{118474,
author = {Miroslav Kat\v etov},
title = {On entropy-like functionals and codes for metrized probability spaces II},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {33},
year = {1992},
pages = {79-95},
zbl = {0751.94004},
mrnumber = {1173750},
language = {en},
url = {http://dml.mathdoc.fr/item/118474}
}
Katětov, Miroslav. On entropy-like functionals and codes for metrized probability spaces II. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 79-95. http://gdmltest.u-ga.fr/item/118474/
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