Question: Let f be a non-negative real-valued measurable function on a measure space (X, A, ). Suppose that fe fdu = 0 for every E

Let f be a non-negative real-valued measurable function on a measure space

Let f be a non-negative real-valued measurable function on a measure space (X, A, ). Suppose that fe fdu = 0 for every E E A. Show that f = 0 a.e.

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