- Tytuł:
- The cancellation law for inf-convolution of convex functions
- Autorzy:
- Zagrodny, Dariusz
- Powiązania:
- https://bibliotekanauki.pl/articles/1290256.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
inf-convolution
convex functions
subdifferentials
the cancellation law
a characterization of reflexivity - Opis:
- Conditions under which the inf-convolution of f and g $f □ g(x):= inf_{y+z=x}(f(y)+g(z))$ has the cancellation property (i.e. f □ h ≡ g □ h implies f ≡ g) are treated in a convex analysis framework. In particular, we show that the set of strictly convex lower semicontinuous functions $f: X → ℝ ∪ {+∞}$ on a reflexive Banach space such that $ lim_{∥x∥ → ∞} f(x)/∥x∥ = ∞$ constitutes a semigroup, with inf-convolution as multiplication, which can be embedded in the group of its quotients.
- Źródło:
-
Studia Mathematica; 1994, 110, 3; 271-282
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł