University of MaraghehSahand Communications in Mathematical Analysis2322-580720220230301Duality of Continuous K-g-Frames17318270240210.22130/scma.2022.551840.1094ENAtefeRazghandiDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.Ali AkbarArefijamaalDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.0000-0003-2153-352XJournal Article20220420K-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.https://scma.maragheh.ac.ir/article_702402_c8393239afdf994669590c49158f2f70.pdf