Alizadeh, Y., Abdollahpour, M. (2019). Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces. Sahand Communications in Mathematical Analysis, (), -. doi: 10.22130/scma.2019.68582.264

Yahya Alizadeh; Mohammad Reza Abdollahpour. "Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces". Sahand Communications in Mathematical Analysis, , , 2019, -. doi: 10.22130/scma.2019.68582.264

Alizadeh, Y., Abdollahpour, M. (2019). 'Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces', Sahand Communications in Mathematical Analysis, (), pp. -. doi: 10.22130/scma.2019.68582.264

Alizadeh, Y., Abdollahpour, M. Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces. Sahand Communications in Mathematical Analysis, 2019; (): -. doi: 10.22130/scma.2019.68582.264

Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces

Articles in Press, Accepted Manuscript , Available Online from 24 April 2019

^{}Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran.

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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