Bound of eigenvalues of product of two positive definite matrices

Question

Suppose I have two positive definite matrices A and B, Eigenvalues of A are bounded between u, v Eigenvalues of B are bounded between s, t All real numbers u,v,s,t are in range [0, 1].

I can infer that their multiplication (AB) is also positive definite, and also infer a bound on the eigenvalues of AB?

Thanks