Author/Authors :
NAJATI, A. university of mohaghegh ardabili - Faculty of Sciences - Department of Mathematics, اردبيل, ايران , RAHIMI, A. university of maragheh - Faculty of Basic Sciences - Department of Mathematics, مراغه, ايران , Radjavi, Heydar
Abstract :
Here, we develop the generalized frame theory. We introducetwo methods for generating g-frames of a Hilbert space 1t.The first method uses bounded linear operators between Hilbertspaces. The second method uses bounded linear operators on l2 to generate g-frames of H, We characterize all the bounded linearmappings that transform g-frames into other g-frames. We alsocharacterize similar and unitary equivalent g-frames in term of therange of their linear analysis operators. Finally, we generalize thefundamental frame identity to g-frames and derive some new results
