TY - JOUR ID - 34963 TI - Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Alizadeh, Yahya AU - Abdollahpour, Mohammad Reza AD - Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran. Y1 - 2019 PY - 2019 VL - 15 IS - 1 SP - 37 EP - 48 KW - Controlled continuous $g$-frames KW - $(mathcal{C} KW - mathcal{C}')$-controlled continuous $g$-Bessel families KW - Multiplier of continuous $g$-frames DO - 10.22130/scma.2019.68582.264 N2 - 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. UR - https://scma.maragheh.ac.ir/article_34963.html L1 - https://scma.maragheh.ac.ir/article_34963_35384b34dcf883a65808ec86a7f3b34c.pdf ER -