Question: Let f be a strictly increasing homothetic functional on a cone S in an linear space X. Then there exists a linearly homogeneous function h:

Let f be a strictly increasing homothetic functional on a cone S in an linear space X. Then there exists a linearly homogeneous function h: S → ℜ and a strictly increasing function g: ℜ → ℜ such that f = g o h.

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