ON SUM OF G-FRAMES IN HILBERT SPACES

被引：0
|
作者：
Chugh, Renu [1 ]
Goel, Shashank [2 ]
机构：
[1] Maharshi Dayanand Univ, Dept Math, Rohtak, Haryana, India
[2] Maharshi Dayanand Univ, BSA Inst Technol & Management, Dept Math, Rohtak, Faridabad, India
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2012年 / 5卷 / 02期
关键词：
Fram; g-frame; g-Bessel sequence;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the sum of finite number of g-frames for a Hilbert space H and observed that their sum need not be a g-frame. A necessary and sufficient condition for the sum of two g-frames to be a g-frame has been obtained. Also, we study the sum of finite number of g-Bessel sequences and obtained some results regarding sum of g-Bessel sequences.
引用
收藏
页码：115 / 124
页数：10
相关论文
共 50 条
  • [1] On the Sum of g-Frames and Their Stability in Hilbert Spaces
    Baradaran, Javad
    Zerehpoush, Morteza
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
  • [2] On the Sum of g-Frames and Their Stability in Hilbert Spaces
    Javad Baradaran
    Morteza Zerehpoush
    [J]. Mediterranean Journal of Mathematics, 2023, 20
  • [3] On sum and stability of g-frames in Hilbert spaces
    Li, Dongwei
    Leng, Jinsong
    Huang, Tingzhu
    Sun, Guomin
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (08): : 1578 - 1592
  • [4] G-FRAMES AND STABILITY OF G-FRAMES IN HILBERT SPACES
    Najati, Abbas
    Faroughi, M. H.
    Rahimi, Asghar
    [J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2008, 14 (03): : 271 - 286
  • [5] Controlled g-frames and dual g-frames in Hilbert spaces
    Hui-Min Liu
    Yan-Ling Fu
    Yu Tian
    [J]. Journal of Inequalities and Applications, 2023
  • [6] Controlled g-frames and dual g-frames in Hilbert spaces
    Liu, Hui-Min
    Fu, Yan-Ling
    Tian, Yu
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [7] FUSION FRAMES AND G-FRAMES IN TENSOR PRODUCT AND DIRECT SUM OF HILBERT SPACES
    Khosravi, Amir
    Azandaryani, M. Mirzaee
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2012, 6 (02) : 287 - 303
  • [8] Characterizations of Disjointness of g-Frames and Constructions of g-Frames in Hilbert Spaces
    Guo, Xunxiang
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2014, 8 (07) : 1547 - 1563
  • [9] Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces
    Guo, Xunxiang
    [J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [10] Continuous G-Frames in Hilbert Spaces
    Abdollahpour, M. R.
    Faroughi, M. H.
    [J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (01) : 1 - 19
12345