G-Frames For Operators in Hilbert Spaces

K-frames as a generalization of frames were introduced by l. gu{a}vruc{t}a to study atomic systems on hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator k in a hilbert space. recently some generalizations of this concept are introduced and some of its difference with ordinary frames are studied. in this paper, we give a new generalization of k-frames. after proving some characterizations of generalized k-frames, new results are investigated and some new perturbation results are established. finally, we give several characterizations of k-duals.