Displaying similar documents to “On entropy-like functionals and codes for metrized probability spaces. I.”

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

Miroslav Katětov (1992)

Commentationes Mathematicae Universitatis Carolinae

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In Part I, we have proved characterization theorems for entropy-like functionals δ , λ , E , Δ and Λ restricted to the class consisting of all finite spaces P 𝔚 , the class of all semimetric spaces equipped with a bounded measure. These theorems are now extended to the case of δ , λ and E defined on the whole of 𝔚 , and of Δ and Λ restricted to a certain fairly wide subclass of 𝔚 .