Frame theory is recently an active research area in mathematics, computer science, and engineering with many exciting applications in a variety of different fields.This theory has been generalized rapidly and various generalizations of frames in Hilbert spaces In this papers we study the notion of dual continuous K-frames in Hilbert spaces. Also we etablish some new properties.

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In this work, we introduce a new concept of integral K-operator frame for the set of all adjointable operators from Hilbert C *-modules H to it self noted End * A (H). We give some propertis relating some construction of integral K-operator frame and operators preserving integral K-operator frame and we establish some new results.

Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert C*-modules. The purpose of this paper is the introduction and the study of the concept of Controlled Continuous g-Frames in Hilbert C*-Modules. Also we give some properties.

Frame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert C ∗ -modules. In this paper, we define and study the new concept of controlled continuous ∗ - K - g -frames for Hilbert C ∗ -modules and we establish some properties.