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On entropy-like functionals and codes for metrized probability spaces. II. (English) Zbl 0751.94004
Summary: In Part I [ibid. 31, No. 1, 49-66 (1990; Zbl 0696.94004)], 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 $$\mathfrak W$$.
##### MSC:
 94A17 Measures of information, entropy
##### Keywords:
regular code; dyadic expansion; entropy-like functionals
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