Let $(x_n)$ be a sequence in a normed vector space $X$. Is it possible to calculate the sequence of arithmetic means of $x_n$ as follows: $$a_n=\frac{x_1+x_2+...+x_n}{n}.$$ or, under which conditions the above formula is valid?
2026-03-29 00:06:31.1774742791
Arithmetic mean of a sequence in normed vector spaces
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