G-frames and their duals for Hilbert C*-modules

Document Type : Research Paper


1 Ph.D student of Vali-e-Asr University

2 Staff of Vali-e-Asr university


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.