Any sums invested in the re-capitalisation will directly reduce the value of your shares held by the existing shareholders, unless the also subscribe (and are given the oppurtunity) to the recapitalisation.
The future profits and dividends will be shared by the existing sharelholders and the new sharesholders so this will automatically diminish the value of the existing shares.
Of course, this might be the lesser of two evils, as in the case that the recpaitalisation fails for some reason, the value of the existing shares could very well be zero.