ON PERTURBATION OF BANACH FRAMES

摘要

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{sup}* 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{sup}* to be a Banach frame has been given.