Duality of Continuous K-g-Frames

K-g-frames, as an extension of g-frames and K-frames are one of the active fields in frame theory. In this paper, we  consider continuous K-g-frames which are a generalization of discrete K-g-frames. We give the necessary and sufficient conditions to characterize their duals. For example, the canonical dual  of a given K-g-frame is described by both its frame operator and its alternate duals.

Keywords:

Continuous frames , K-frames , Continuous K-g-frames , K-g-duals