Construction Methods and Sum of c-K-g-Frames in Hilbert Spaces

被引：0
|
作者：
Alizadeh, E. [1 ]
Rahmani, M. [2 ]
机构：
[1] Islamic Azad Univ, Marand Branch, Dept Math, Math, Marand, Iran
[2] Islamic Azad Univ, Ilkhchi Branch, Dept Math, Young Researchers & Elite Club,Math, Ilkhchi, Iran
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2023年 / 17卷 / 01期
关键词：
cg-frame; c-K-g-frame; Dual c-K-g-frame; sum of c-K-g-frames;
D O I：
10.30495/JME.2023.2199
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper was aimed at studying some novel methods of constructing new c-K-g -frames in a Hilbert space H. Some necessary and sufficient conditions were given for some bounded operators on H under which new c-K-g -frames were obtained from the existing ones. Also, the sum of c-K-g -frames were discussed, some of their characteri-zations were identified, and some bounded operators offered to construct new c-K-g -frames from the old ones.
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