Khinchin's inequality, Dunford--Pettis and compact operators on the space $C([0,1],X)$

Dumitru Popa

We prove that if $X,Y$ are Banach spaces, $\Omega$ a compact Hausdorff space and $U:C(\Omega ,X)\to Y$ is a bounded linear operator, and if $U$ is a Dunford--Pettis operator the r…