Geodesic
On separation theorems for subadditive and superadditive functionals
Studia Mathematica, Tome 100 (1991) no. 1, pp. 25-38

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We generalize the well known separation theorems for subadditive and superadditive functionals to some classes of not necessarily Abelian semigroups. We also consider the problem of supporting subadditive functionals by additive ones in the not necessarily commutative case. Our results are motivated by similar extensions of the Hyers stability theorem for the Cauchy functional equation. In this context the so-called weakly commutative and amenable semigroups appear naturally. The relations between these two classes of semigroups are discussed at the end of the paper.
DOI : 10.4064/sm-100-1-25-38

Zbigniew Gajda 1

1 
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Zbigniew Gajda. On separation theorems for subadditive and superadditive functionals. Studia Mathematica, Tome 100 (1991) no. 1, pp. 25-38. doi: 10.4064/sm-100-1-25-38

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