A note on separation by subadditive and sublinear functions
Abstract
The necessary and sufficient conditions for separation by subadditive and sublinear functions are given.
Keywords
semigroup; subadditive function; sublinear function; separation theorem
References
2. G. Buskes, The Hahn-Banach Theorem surveyed, Dissert. Math. 327, Warsaw 1993.
3. R. Kaufman, Interpolation of additive junctionals, Studia Math. 27 (1966), 269-272.
4. P. Kranz, Additive junctionals on abelian semigroups, Comment. Math. Prace Mat. 16 (1972), 239-246.
5. K. Nikodem, Sz. Wąsowicz, A sandwich theorem and Hyers-Ulam stability of affine functions, Aequationes Math. 49 (1995), 160-164.
Katedra Matematyki, Filia Politechniki Łódzkiej w Bielsku-Białej Poland
Katedra Matematyki, Filia Politechniki Łódzkiej w Bielsku-Białej Poland
Katedra Matematyki, Filia Politechniki Łódzkiej w Bielsku-Białej Poland
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