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
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.
引用
收藏
页数:1
相关论文
共 50 条
  • [31] On Constructions of K-g-Frames in Hilbert Spaces
    Javadi, F.
    Mehdipour, M. J.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
  • [32] Continuous K-g-Frames in Hilbert Spaces
    E. Alizadeh
    A. Rahimi
    E. Osgooei
    M. Rahmani
    Bulletin of the Iranian Mathematical Society, 2019, 45 : 1091 - 1104
  • [33] FUSION FRAMES AND G-FRAMES IN TENSOR PRODUCT AND DIRECT SUM OF HILBERT SPACES
    Khosravi, Amir
    Azandaryani, M. Mirzaee
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2012, 6 (02) : 287 - 303
  • [34] CONTINUOUS CONTROLLED K-g-FRAMES IN HILBERT SPACES
    Rezapour, R.
    Rahimi, A.
    Osgooei, E.
    Dehghan, H.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2019, 50 (04): : 863 - 875
  • [35] OPERATORS ON CONTROLLED K-G-FRAMES IN HILBERT SPACES
    Forughi, Maryam
    Osgooei, Elnaz
    Rahimi, Asghar
    Javahernia, Mojgan
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2020, 46 (01): : 102 - 114
  • [36] CONTINUOUS K-G-FUSION FRAMES IN HILBERT SPACES
    Alizadeh, E.
    Rahimi, A.
    Osgooei, E.
    Rahmani, M.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (01): : 44 - 55
  • [37] Continuous controlled K-g-frames in Hilbert spaces
    R. Rezapour
    A. Rahimi
    E. Osgooei
    H. Dehghan
    Indian Journal of Pure and Applied Mathematics, 2019, 50 : 863 - 875
  • [38] Some results about the Construction of K-frames in Hilbert spaces
    Dai, Chunnian
    Leng, Jinsong
    He, Miao
    2020 5TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND ARTIFICIAL INTELLIGENCE (ICMAI 2020), 2020, : 204 - 208
  • [39] Characterization and Construction of K-Fusion Frames and Their Duals in Hilbert Spaces
    Neyshaburi, Fahimeh Arabyani
    Arefijamaal, Ali Akbar
    RESULTS IN MATHEMATICS, 2018, 73 (01)
  • [40] Characterization and Construction of K-Fusion Frames and Their Duals in Hilbert Spaces
    Fahimeh Arabyani Neyshaburi
    Ali Akbar Arefijamaal
    Results in Mathematics, 2018, 73