Some Remarks on Functionals with the Tensorization Property
Volume 55 / 2007
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.
