Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces

Authors : Sayyed Mehrab Ramezani, Akbar Nazari

Pages : 0-0

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Publication Date : 2016-05-01

Article Type : Research

Abstract :A generalization of weighted, multiplier, controlled from frame and Bessel sequences to continuous g-frames and continuous g-Bessel sequences in Hilbert spaces is presented in this study. Moreover, we find a dual of a continuous g-frame in the case that the multiplier operator is invertible. Finally, it is demonstrated that a controlled continuous g-frame is equivalent to a continuous g-frame.
Keywords : Continuous g-frame, continuous g-multiplier, weighted continuous g-frame