Tight K - g -Frame and Its Novel Characterizations via Atomic Systems

Abstract EN

K - g -frame is a generalization of g -frame.

We generalize the tight g -frame to K - g -frame via atomic systems.

In this paper, the definition of tight K - g -frame is put forward; equivalent characterizations and necessary conditions of tight K - g -frame are given.

In particular, the necessary and sufficient condition for tight K - g -frame being tight g -frame is obtained.

Finally, by means of methods and techniques of frame theory, several properties of tight K - g -frame are given.