The present invention relates to agents for lightening keratinic fibers, comprising at least two preparations (A) and (B) packaged separately from each other, and optionally a further preparation (C) packaged separately from (A) and (B), which are mixed immediately before use to form an application mixture, wherein preparation (A) comprises at least one persulfate and preparation (B) is flowable and includes at least one oxidizing agent, and preparation (B) and/or preparations (C) moreover comprise at least one natural polymer, and preparation (A)—based on the weight thereof—comprises a1) 0 to 3 wt. % keratin hydrolysate(s) and/or a2) 0 to 5 wt. % silicone oil(s), with the proviso that preparation (A)—based on the weight thereof—comprises 0.1 to 6 wt. % compound(s) from the groups a1) and a2).