 Absolutely one-homogeneous functional

ID: absolutely-one-homogeneous-functional

J

is absolutely one-homogeneous when

J (c u) = ∣ c ∣ J (u)

for every scalar

c

. For a convex such functional,

p \in \partial J (u) ⟺ ⟨ p, u ⟩ = J (u) and ⟨ p, v ⟩ \leq J (v) for every v .

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