Tips: Transfer skin weights (by
rampa)
Transfer the weights as normal. Don't delete any groups.
Now select your skeleton and set it to pose mode, then select the armor again (it's still in weight paint mode).
Cntrl-Click on the head bone to select it. You'll see the weighting like your image showed.
In the tools panel, click on "Levels", and set the "Gain" value to zero.