OPERATOR PARAMETERIZATIONS OF g-FRAMES
نویسنده
چکیده
Abstract. In this paper, we mainly parameterize g-frames in Hilbert space in terms of operators. Firstly, under the condition that there exists a g-orthonormal basis we establish the one to one correspondence between different kinds of g-frames with certain kinds of operators. Then we parameterize g-frames without the above restriction. Finally, we consider some special g-frames, and their operator parameterizations are established. We also obtain some interesting results on g-bases and g-dual frames of the transforms by applying the operator parameterizations of g-frames.
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