There are no unconditional Schauder frames of translates in $L^p(\mathbb{R})$, $1\le p\le 2$

Nir Lev, Anton Tselishchev

It is known that a system formed by translates of a single function cannot be an unconditional Schauder basis in the space $L^p(\mathbb{R})$ for any $1\le p<\infty$. To the cont…