TY - JOUR ID - 206 TI - G-frames and their duals for Hilbert C*-modules JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Alijani, Azadeh AU - Dehghan, Mohammad Ali AD - Ph.D student of Vali-e-Asr University AD - Staff of Vali-e-Asr university Y1 - 2012 PY - 2012 VL - 38 IS - 3 SP - 567 EP - 580 KW - dual g-frame KW - g-Bessel sequence KW - g-frame KW - Hilbert C*-module DO - N2 - 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. UR - http://bims.iranjournals.ir/article_206.html L1 - http://bims.iranjournals.ir/article_206_9ada6846e5a0d425c990156f9766f580.pdf ER -