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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
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