%0 Journal Article %T On some stability results of frame atomic decompositions %A Massimo Fornasier %J Mathematics %D 2005 %I arXiv %X This paper is concerned with the implications of sufficient conditions ensuring that a perturbation of a frame is again a frame. We emphasize how stability of frames is fundamental for numerical applications and we discuss in particular the connection between stability conditions and localization principles for frame atomic decompositions in Banach spaces. %U http://arxiv.org/abs/math/0502205v1