It is a common sense to stop bleaching any of the satin bed linen especially this luxury silk piece. Bleach is harmful to the silk fabric. So better not to use it. Even the color safe bleach should not be used even to remove any kind of stain. You can go for the light fabric softener to your California king bedding sets clean.
It is not only applied to pure silk sheets, but to all the pieces on your bed, whatever, bleach is harmful to health.