Question: Task 1: Let M : R > R be a convex even function such that M (O) = 0. Let L M be the collection

Task 1: Let M : R > R be a convex even function such that M (O) = 0. Let L M be the collection of all realvalued measurable functions f : IR ) R such that M(f) 6 L1 (for example, M(t) = |t|p implies that LM = LP). Determine the conditions on M Which make LM a linear space (with the usual operations) [4 points]

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