%0 Journal Article
%T G-frames and their duals for Hilbert C*-modules
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Alijani, Azadeh
%A Dehghan, Mohammad Ali
%D 2012
%\ 09/15/2012
%V 38
%N 3
%P 567-580
%! G-frames and their duals for Hilbert C*-modules
%K dual g-frame
%K g-Bessel sequence
%K g-frame
%K Hilbert C*-module
%R
%X Abstract. Certain facts about frames and generalized frames (g- frames) are extended for the g-frames for Hilbert C*-modules. It is shown that g-frames for Hilbert C*-modules share several useful properties with those for Hilbert spaces. The paper also character- izes the operators which preserve the class of g-frames for Hilbert C*-modules. Moreover, a necessary and suffcient condition is ob- tained for an operator T whose corresponding singleton set {T} to be a g-frame. Finally, some characterizations of dual g-frames for Hilbert spaces and Hilbert C*-modules are given.
%U http://bims.iranjournals.ir/article_206_9ada6846e5a0d425c990156f9766f580.pdf