On perturbation of Banach frames
A necessary and sufficient condition for the perturbation of a Banach frame by a nonzero functional to be a Banach frame has been obtained. Also a sufficient condition for the perturbation of a Banach frame by a sequence in E* to be a Banach frame has been given. Finally, a necessary condition for the perturbation of a Banach frame by a finite linear combination of linearly independent functionals in E* to be a Banach frame has been given.
perturbation banach frame frame