The cancellation law for inf-convolution of convex functions
Zagrodny, Dariusz
Studia Mathematica, Tome 108 (1994), p. 271-282 / Harvested from The Polish Digital Mathematics Library
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Conditions under which the inf-convolution of f and g f□g(x):=infy+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.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:216114 
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Zagrodny, Dariusz. The cancellation law for inf-convolution of convex functions. Studia Mathematica, Tome 108 (1994) pp. 271-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv110i3p271bwm/

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