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Isolated is a universal operator for the class of non-completely-continuous operators from $L_1$ into an arbitrary Banach space, namely, the operator from $L_1$ into $\\ell_\\infty$ defined by $$ T_0 (f) =\\left( \\int r_n f \\, d\\mu \\right)_{n\\ge 0} \\ , $$ where $r_n$ is the $n^{\\text{th}}$ Rademacher function. 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