On entropy-like functionals and codes for metrized probability spaces II
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 79-95
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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 $\frak W$.
@article{CMUC_1992__33_1_a10,
author = {Kat\v{e}tov, Miroslav},
title = {On entropy-like functionals and codes for metrized probability spaces {II}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {79--95},
publisher = {mathdoc},
volume = {33},
number = {1},
year = {1992},
mrnumber = {1173750},
zbl = {0751.94004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_1_a10/}
}
TY - JOUR AU - Katětov, Miroslav TI - On entropy-like functionals and codes for metrized probability spaces II JO - Commentationes Mathematicae Universitatis Carolinae PY - 1992 SP - 79 EP - 95 VL - 33 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1992__33_1_a10/ LA - en ID - CMUC_1992__33_1_a10 ER -
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/