Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces
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Abstract:
In this paper, we introduce $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel families and their multipliers in Hilbert spaces and investigate some of their properties. We show that under some conditions sum of two $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frames is a $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frame. Also, we investigate when a $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel multiplier is a p-Schatten class operator.
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Journal title
volume 15 issue 1
pages 37- 48
publication date 2019-07-01
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