Characterization of continuous K-g-frames in Hilbert C*-modules

This note is focused on merging the notions of g-frame and K-frame in a Hilbert C*-module U for an operator K that belongs to End* A(U). Here, A refers to a complex C*-algebra and End *A(U) refers to the collection of all adjointable A-linear maps on U. This introduces the concept of a continuous K − g−frame for Hilbert C*-modules, and provides some characterization.

Keywords:

Continuous K− g−frame , Hilbert C*-module