Originally Posted by Zudnic
I have been getting 25% bonuses as Premier (and 100% bonus as P-E) on US operated flights when my UA number is on the booking.
UA Mileage Plus RDM Bonuses apply to flights operated by United, TED, United Express, US Airways, and LH (officially only for trans-atlantic flights, but some folks have gotten them for trans-Africa runs, as well). No other Star Alliance partner airline grants them for flights operated by them (even if codeshared with UA).
SK does have a premium Economy cabin, but it is available only to full-fare Y, I believe (it is not automatically granted via Star Alliance status, like E+).