Some characterizations of fusion Banach frames

Abstract

Near exact fusion Banach frames have been discussed with the help of examples. Further, it has been proved that if a Banach space has a fusion Banach frame then it has a normalized tight and exact fusion Banach frame. In the sequel, we consider block perturbation of fusion Banach frames and proved that a block perturbation of a fusion Banach frame is also a fusion Banach frame. Some stability results for fusion Banach frames have also been obtained. Finally, we give an application of near exact fusion Banach frame.