%0 Journal Article
%T Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Alizadeh, Yahya
%A Abdollahpour, Mohammad Reza
%D 2019
%\ 07/01/2019
%V 15
%N 1
%P 37-48
%! Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces
%K Controlled continuous $g$-frames
%K $(mathcal{C}
%K mathcal{C}')$-controlled continuous $g$-Bessel families
%K Multiplier of continuous $g$-frames
%R 10.22130/scma.2019.68582.264
%X 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.
%U https://scma.maragheh.ac.ir/article_34963_35384b34dcf883a65808ec86a7f3b34c.pdf