CONSTRUCTION OF CONTINUOUS g-FRAMES ANDCONTINUOUS FUSION FRAMES

A generalization of the known results in fusion framesand g-frames theory to continuous fusion frames which defined byM. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new familyof CRI is constructed, and a number of reconstruction formulas areobtained. Also, new results are given on the duality of continuousfusion frames in Hilbert spaces

Keywords:

Fusion frame , Continuous fusion frame , Continuous gframe , Continuous resolution