Rigidity of sets of independent functions in symmetric spaces

Sergey V. Astashkin, Yu. V. Malykhin

We say that a symmetric function space $X$ has the $(IR)$ property whenever all sets of $N$ independent mean zero functions $f_1,\dots ,f_N\in X$, $\Vert f_k{\Vert }_X\ge 1$, are poorly appr…