Some Remarks on Functionals with the Tensorization Property

Volume 55 / 2007

Paweł Wolff Bulletin Polish Acad. Sci. Math. 55 (2007), 279-291 MSC: Primary 60E15; Secondary 28A35, 52A40. DOI: 10.4064/ba55-3-8

Abstract

We investigate the subadditivity property (also known as the tensorization property) of $\varphi$-entropy functionals and their iterations. In particular we show that the only iterated $\varphi$-entropies with the tensorization property are iterated variances. This is a complement to the result due to Latała and Oleszkiewicz on characterization of the standard $\varphi$-entropies with the tensorization property.

Authors

  • Paweł WolffInstitute of Mathematics
    Warsaw University
    Banacha 2
    02-097 Warszawa, Poland
    e-mail

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