  In this article, let $\Sigma\subset\R^{2n}$ be a compact convex hypersurface
which is $(r, R)$-pinched with $\frac{R}{r}<\sqrt{{3/2}}$. Then $\Sg$ carries
at least two strictly elliptic closed characteristics; moreover, $\Sg$ carries
at least $2[\frac{n+2}{4}]$ non-hyperbolic closed characteristics.
