%0 Journal Article %T Principle of local reflexivity respecting subspaces %A Eve Oja %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1310.6232v1