Rosenthal's space revisited

Sergey V. Astashkin, Guillermo P. Curbera

Let $E$ be a rearrangement invariant (r.i.) function space on $[0,1]$, and let $Z_E$ consist of all measurable functions $f$ on $(0,\infty )$ such that $f^{\ast }{\chi }_{[0,1]}\in E$ and $f^*χ…