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A sandwich type Hahn-Banach theorem for convex and concave functionals

Xu Jingshi

Journal of Mathematics and Applications

2021

Vol. 44

119--122

We give a sandwich type Hahn-Banach theorem for convex and concave functionals.

Some remarks on functionals with the tensorization property

Wolff P.

Bulletin of the Polish Academy of Sciences. Mathematics

2007

Vol. 55, no 3

279-291

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 Latala and Oleszkiewicz on characterization of the standard φ-entropies with the tensorization property.