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Let $X$ be a second countable topological vector space. Does there exist any sequence of finite valued functions $f_n\colon X\to X$ converging point-wise to the identity mapping on $X$?
point-wise limit of finite valued functions
Let $X$ be a second countable topological vector space. Does there exist any sequence of finite valued functions $f_n\colon X\to X$ converging point-wise to the identity mapping on $X$?
Point-wise limit of finite valued functions
Let $X$ be a second countable topological vector space. Does there exist any sequence of finite valued functions $f_n\colon X\to X$ converging point-wise to the identity mapping on $X$?
Let $X$ be a second countable topological vector space. Does there exist any sequence of finite valued functions $f_n:X\to X$$f_n\colon X\to X$ converging point-wise to the identity mapping on $X$?
Let $X$ be a second countable topological vector space. Does there exist any sequence of finite valued functions $f_n:X\to X$ converging point-wise to the identity mapping on $X$?
Let $X$ be a second countable topological vector space. Does there exist any sequence of finite valued functions $f_n\colon X\to X$ converging point-wise to the identity mapping on $X$?
Let $X$ be a second countable topological vector space. Does there exist any sequence of finite valued functions $f_n:X\to X$ converging point-wise to the identity mapping on $X$?
