Controlled Continuous G-Frames and Their Multipliers in Hilbert Spaces

被引：2
|
作者：
Alizadeh, Yahya [1 ]
Abdollahpour, Mohammad Reza [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Dept Math, Fac Sci, Ardebil 5619911367, Iran
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2019年 / 15卷 / 01期
关键词：
Controlled continuous g-frames; (C; C ')-controlled continuous g-Bessel families; Multiplier of continuous g-frames;
D O I：
10.22130/scma.2019.68582.264
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce (C, 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 (C, C')-controlled continuous g-frames is a (C, C')-controlled continuous g-frame. Also, we investigate when a (C, C')-controlled continuous g-Bessel multiplier is a p-Schatten class operator.
引用
收藏
页码：37 / 48
页数：12
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