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
Azadeh Alijani; Mohammad Ali Dehghan. "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.
VANCOUVER
Alijani, A., Dehghan, M. A. G-frames and their duals for Hilbert C*-modules. Bulletin of the Iranian Mathematical Society, 2012; 38(3): 567-580.
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