EN
Let p be a prime number, ℚp the field of p-adic numbers, and $$ \bar {\mathbb{Q}}_p $$ a fixed algebraic closure of ℚp. We provide an analytic version of the normal basis theorem which holds for normal extensions of intermediate fields ℚp ⊆ K ⊆ L ⊆ $$ \bar {\mathbb{Q}}_p $$ .