  The recent precise measurements of the $e^+e^-\to K_SK_L$ and $e^+e^-\to
K^+K^-$ cross sections and the hadronic spectral function of the $\tau^-\to
K^-K_S\nu_\tau$ decay are used to extract the isoscalar and isovector
electromagnetic kaon form factors and their relative phase in a model
independent way. The experimental results are compared with a fit based on the
vector-meson-dominance model.
