Unconditional Frames of Translates in $L_p({\mathbb{R}}^d)$

Miguel Berasategui, Daniel Carando

We show that, for $1<p\le 2$, the space $L_p({\mathbb{R}}^d)$ does not admit unconditional Schauder frames ${\left\{f_i,f_i^{\prime }\right\}}_{i\in \mathbb{N}}$ where $\left\lbrace…