Sharif University of TechnologyScientia Iranica1026-309815620081201Space and Norm Redundancies in Frame Theory3089ENA.NazariDepartment of Mathematical Sciences,Shahid Bahonar University of KermanJournal Article20091221Let 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.