On entropy-like functionals and codes for metrized probability spaces II

Katětov, Miroslav. "On entropy-like functionals and codes for metrized probability spaces II." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 79-95. <http://eudml.org/doc/247394>.

@article{Katětov1992,
abstract = {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 $P\in \mathfrak \{W\}$, 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 $\mathfrak \{W\}$, and of $\Delta $ and $\Lambda $ restricted to a certain fairly wide subclass of $\mathfrak \{W\}$.},
author = {Katětov, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {regular code; dyadic expansion; entropy; regular code; dyadic expansion; entropy-like functionals},
language = {eng},
number = {1},
pages = {79-95},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On entropy-like functionals and codes for metrized probability spaces II},
url = {http://eudml.org/doc/247394},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Katětov, Miroslav
TI - On entropy-like functionals and codes for metrized probability spaces II
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 1
SP - 79
EP - 95
AB - 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 $P\in \mathfrak {W}$, 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 $\mathfrak {W}$, and of $\Delta $ and $\Lambda $ restricted to a certain fairly wide subclass of $\mathfrak {W}$.
LA - eng
KW - regular code; dyadic expansion; entropy; regular code; dyadic expansion; entropy-like functionals
UR - http://eudml.org/doc/247394
ER -