已知$U=\left\{\overline{)y}y={\log }_{2}x,x>1\right\},P=\left\{\overline{)y}y=\frac{1}{x},x>2\right\}$，则$C_{U}P$=

$[\frac{1}{2},+\infty )$ $\left(0,\frac{1}{2}\right)$ $\left(0,+\infty \right)$ $\left(-\infty ,0\right)\cup \left(\frac{1}{2},+\infty \right)$