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.
Alijani, A. & Dehghan, M. A. (2012). G-frames and their duals for Hilbert C*-modules. Bulletin of the Iranian Mathematical Society, 38(3), 567–580.
MLA
Alijani, A., & Dehghan, M. A. "G-frames and their duals for Hilbert C*-modules", Bulletin of the Iranian Mathematical Society, 38, 3, 2012, 567–580.
HARVARD
Alijani, A., & Dehghan, M. A. (2012). 'G-frames and their duals for Hilbert C*-modules', Bulletin of the Iranian Mathematical Society, 38(3), pp. 567–580.
CHICAGO
Alijani, A. & Dehghan, M. A., "G-frames and their duals for Hilbert C*-modules." Bulletin of the Iranian Mathematical Society, 38 3 (2012): 567–580,
VANCOUVER
Alijani A., Dehghan M. A. G-frames and their duals for Hilbert C*-modules. BIMS. 2012;38(3):567–580.
