Abstract
The g-frame operator for g-frames in C* algebra is introduced. The results on g-frame operators are proved. Frame identities are shown. Result on direct sum of g-frame operators on direct sum of Hilbert Spaces is presented. I. Introduction Frames are generalization of bases .D. Han and D. R. Larson have developed a number of basic concepts of operator theoretic approach to frame theory in C* algebra. Peter G Casazza presented a tutorial on frame theory and he suggested the major directions of research in frame theory. Radu V. Balan and Peter G. Casazza have analyzed decomposition of a normalized tight frame and obtained identities for frames. A. Najati and A. Rahimi have developed the generalized frame theory and introduced methods for generating g-frames of a C* algebra.
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