K - g-FUSION FRAMES IN HILBERT C*-MODULES

被引:7
|
作者
Nhari, Fakhr-Dine [1 ]
Echarghaoui, Rachid [1 ]
Rossafi, Mohamed [2 ]
机构
[1] Univ Ibn Tofail, Fac Sci, Dept Math, Lab Anal Geometry & Applicat, Kenitra, Morocco
[2] Univ Sidi Mohamed Ben Abdellah, Fac Sci Dhar El Mahraz, Dept Math, LaSMA Lab, BP 1796, Fes, Morocco
来源
关键词
fusion frame; g-fusion frame; K; -; g-fusion; Hilbert C* -module;
D O I
10.28924/2291-8639-19-2021-836
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the concepts of g-fusion frame and K - g-fusion frame in Hilbert C* -modules and we give some properties. Also, we study the stability problem of g-fusion frame. The presented results extend, generalize and improve many existing results in the literature.
引用
收藏
页码:836 / 857
页数:22
相关论文
共 50 条
  • [31] CONTROLLED CONTINUOUS K - g- FUSION FRAME IN HILBERT C * -MODULES
    Nhari, Fakhr-Dine
    Rossafi, Mohamed
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2024, 178 (02) : 259 - 274
  • [32] K-G-Frames and G-Atomic Systems in Hilbert Pro-C∗-Modules
    Nazari, Akbar
    Moosavi, Zahra Ahmadi
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2023, 18 (02): : 169 - 183
  • [33] FRAMES IN HILBERT C*-MODULES
    Alijani, A.
    Dehghan, M. A.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2011, 73 (04): : 89 - 106
  • [34] Controlled continuous ∗-g-frames in Hilbert C∗-modules
    Ghiati, M'hamed
    Rossafi, Mohamed
    Mouniane, Mohammed
    Labrigui, Hatim
    Touri, Abdeslam
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (01)
  • [35] EQUIVALENT CONTINUOUS G-FRAMES IN HILBERT C*-MODULES
    Nazari, A.
    Rashidi-Kouchi, M.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (04): : 91 - 98
  • [36] NEW INEQUALITIES FOR G-FRAMES IN HILBERT C*-MODULES
    Xiang, Zhong-Qi
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (03): : 889 - 897
  • [37] A New Characterization on g-frames in Hilbert C;-Modules
    Xiang Zhong-qi
    Communications in Mathematical Research, 2017, 33 (02) : 129 - 134
  • [38] Near continuous g-frames for Hilbert C*-modules
    Khatib, Y.
    Hassani, M.
    Amyari, M.
    JOURNAL OF MATHEMATICAL EXTENSION, 2019, 13 (04) : 131 - 142
  • [39] A note on the stability of g-frames in Hilbert C*-modules
    Xiang, Zhong-Qi
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2016, 14 (04)
  • [40] Some properties of g-frames in Hilbert C*-modules
    Xiao, Xiang-Chun
    Zeng, Xiao-Ming
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (02) : 399 - 408