Let (X,µ) be a measure space with µ(X) infinite. I'm trying to find an example of a pair (X,µ) and a sequence {(adsbygoogle = window.adsbygoogle || []).push({}); f_n} of L^1(X,µ) functions converging uniformly to a functionfsuch that we donothavef_n -->fin L^1(X,µ).

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# L^1 convergence and uniform convergence

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