The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac{1}{2},1\right]$

Nikita Shulga

We prove that the one-dimensional Dirichlet spectrum with respect to approximation in $L_1$ norm ${\mathbb{D}}^{[1]}$ satisfies $${\mathbb{D}}^{[1]}=\left[\frac{1}{2},1\right].$$ This is…