  For some theoretical and experimental considerations, the relatively light
Majorana neutrinos at the GeV scale have been attracting some interest. In this
article we consider a scenario with only one Majorana neutrino $N$, negligible
mixing with the active neutrinos $\nu_{L}$, where the Majorana neutrino
interactions could be described in a model independent approach based on an
effective theory. Under such a framework, we particularly study the feasibility
of observing the $N$ with mass in the range 0$-$30 GeV via the process $e^+ e^-
\to \nu N \to\gamma + \slashed E$ in the future Belle-II and ILC experiments.
The results show that it is unpromising for Belle-II to observe the signal,
while ILC may easily make a discovery for the Majorana neutrino.
