On the Stability of the Uniform Minimality of a Set of Exponentials

Some conditions on sequences $(\lambda_n)$ and $(\mu_n)$ to be nearby are given in order that the corresponding systems of complex exponentials $(\exp(i\lambda_nt))$ and $(\exp(i\mu_nt))$ be simultaneously uniformly minimal in $L^p(-\pi,\pi)$, $1\le p<\infty$, and in $C[-\pi,\pi]$.