چکیده
|
The theory of frames is nowadays play an important
roles in the studying of Hilbert and Banach spaces. Also the notion
of redundancy is a new concept that shows essential properties
of a frame. In this paper, after a short review on frames and
fusion frames, we present an approach for the studies in the area
of frame theory based on the notion of redundancy. An interesting
question about the perturbed sequences is: when do they inherit
the properties of the original one. An elegant relation between a
frame (fusion frames) and their perturbations is the relation of their
redundancies. In this paper, we investigate these relationships.
|