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 -