Space and Norm Redundancies in Frame Theory


Department of Mathematical Sciences,Shahid Bahonar University of Kerman


Let f'm : m 2 Mg be a generalized frame in Hilbert space H with frame bounds 0 < A B < 1 and the analysis operator T : H ! L2( ). The paper studies the relation between
(space) redundancy (TH)? and (norm) redundancy A. Also, in case dimH < 1, the e
ect of
the redundancies on the reduction of the total energy of noise is studied.