Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915G-frames and their duals for Hilbert C*-modules567580206ENAzadehAlijaniPh.D student of Vali-e-Asr UniversityMohammad AliDehghanStaff of Vali-e-Asr universityJournal Article20090710Abstract. Certain facts about frames and generalized frames (g- <br />frames) are extended for the g-frames for Hilbert C*-modules. It is <br />shown that g-frames for Hilbert C*-modules share several useful <br />properties with those for Hilbert spaces. The paper also character- <br />izes the operators which preserve the class of g-frames for Hilbert <br />C*-modules. Moreover, a necessary and suffcient condition is ob- <br />tained for an operator T whose corresponding singleton set {T} to <br />be a g-frame. Finally, some characterizations of dual g-frames for <br />Hilbert spaces and Hilbert C*-modules are given.http://bims.iranjournals.ir/article_206_9ada6846e5a0d425c990156f9766f580.pdf