The invention relates to polysiloxanes which can be obtained by adding at least one monovinyl functional polysiloxane and at least one epoxy functional, monovinyl functional component to a Si—H functional polysiloxane. The invention also relates to the production of polysiloxanes, to compositions containing said polysiloxanes, to the use of the compositions in a coating method and to substrates coated with the composition and to the use of the polysiloxanes as additives for finishing surfaces of hardened compositions with anti-adhesive properties.