  Possible nature of strongly magnetized white dwarfs (SMWDs) is studied. It is
shown that for relatively low values of the equatorial surface magnetic field
$B\,\sim\,10^9\,-\,10^{11}$ G they can be good candidates for soft gamma-ray
repeaters and anomalous X-ray pulsars (SGRs/AXPs). For the case of iron SMWDs
the influence of a neutrinoless electron to positron conversion on the
SGRs/AXPs luminosity is estimated.
