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Q1: f_k (i) uniformly bounded for all i = 1, 2 ,... Can we find a subsequence k_j such that f_{k_j} (i) converge for all i=1,2,... Q2: f_k(x) uniformly bounded for all x \in [0,1] Can we find a subsequence k_j such that f_{k_j} (x) converge for all x \in [0,1] -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 137.110.83.37 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1468022648.A.144.html
kerwinhui : No&No, unless you impose more constraints on f_k 07/09 15:30
GSXSP : counter-example? 07/10 01:27