K is a complete non-archimedean field, and then K[x] can be seen as a vector space on K with infinite dimension. For f(x) in K[x], its norm is the maximum valuation the coefficients. Is this norm complete, that is to say, any Cauchy series is convergent.
2026-03-30 01:45:10.1774835110
Is the maximum norm on a vector space complete?
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