11. The function $y=\log _{a}\left(x^{2}-2 x+3\right)$ always has $|y|<1$ when $x \in[0,3]$, then the range of values for $a$ is
11. $a \in(6,+\infty) \cup\left(0, \frac{1}{6}\right)$ Let $t=(x-1)^{2}+2 \in[2,6]$, then (1) when $a>1$, $\frac{1}{a}<t<6$ and $2>\frac{1}{a}$, solving gives $a>6$; (2) when $0<a<1$, $a<t<\frac{1}{a}$, similarly, $0<a<\frac{1}{6}$.