This is an announcement for the paper "Principle of local reflexivity respecting subspaces" by Eve Oja. Abstract: We obtain a strengthening of the principle of local reflexivity in a general form. The added strength makes local reflexivity operators respect given subspaces. Applications are given to bounded approximation properties of pairs, consisting of a Banach space and its subspace. Archive classification: math.FA Submitted from: eve.oja@ut.ee The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1310.6232 or http://arXiv.org/abs/1310.6232