Unconditional structures of translates for $L_p(R^d)$

D. Freeman, E. Odell, Th. Schlumprecht +1

We prove that a sequence $(f_i{)}_{i=1}^{\infty }$ of translates of a fixed $f\in L_p(R)$ cannot be an unconditional basis of $L_p(R)$ for any $1\le p<\infty$. In contrast to this, for…