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Correction regarding the definition of AEP (relevant for homework)
Written on 13.01.2026 13:26 by Alexander Rogovskyy
In the lecture, AEP was defined as the set of functions that are ≥0 almost everywhere. This definition has some subtle problems (for those curious, we can discuss this in the forum).
Therefore, we are redefining AEP as the set of functions from the natural numbers to the real numbers that are >0 almost everywhere. This is also more consistent with its name (almost everywhere positive).
Note that this has implications for task 2 in the current exercise sheet, as the zero function cannot be used as a counterexample anymore.