A condition on the eigenvalues of two Gaussian processes is given that is sufficient for the boundedness of the difference of their

-entropies. It is also proved that the difference between the

-entropies of two strongly equivalent Gaussian processes is bounded. The relation between the

-entropies of equivalent (or strongly equivalent) Gaussian processes is used for obtaining the asymptotic behavior (as

goes to zero) of the

-entropy of certain processes.