Some Remarks on Functionals with the Tensorization Property

• Autorzy: Paweł Wolff
• Języki publikacji: EN

Abstrakty

EN

We investigate the subadditivity property (also known as the tensorization property) of φ-entropy functionals and their iterations. In particular we show that the only iterated φ-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 φ-entropies with the tensorization property.

Kategorie tematyczne

• 52A40: Inequalities and extremum problems
• 60E15: Inequalities; stochastic orderings
• 28A35: Measures and integrals in product spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 3
• Strony: 279-291

Daty

wydano

2007

Twórcy

autor

Paweł Wolff

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ba55-3-8