Sublinear functional
definitionLet V be a real vector space. A function p: V o \mathbb{R} is called \emph{sublinear} if (i) p(x+y) \le p(x)+p(y) for all x,y \in V, and (ii) p(\lambda x) = \lambda,p(x) for all x \in V and all \lambda \ge 0.
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