Some Properties of K-Frames in Quaternionic Hilbert Spaces

被引：6
|
作者：
Ellouz, Hanen [1 ]
机构：
[1] Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 01期
关键词：
Frames; K-frames; Bessel sequence; Quaternionic Hilbert spaces;
D O I：
10.1007/s11785-019-00964-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we discuss some properties of K-frames in quaternionic Hilbert spaces such as the invertibility of the frame operator as well as the interchangeability of two Bessel sequences. Further, we propose several approaches to construct K-frames and we show that a T-frame can be constructed from a K-frame by the perturbation of a bounded linear operator T. Finally, we study the stability of K-frames under some perturbations.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] Some Properties of K-Frames in Quaternionic Hilbert Spaces
    Hanen Ellouz
    [J]. Complex Analysis and Operator Theory, 2020, 14
  • [2] Some Properties of K-Frames in Hilbert Spaces
    Xiao, Xiangchun
    Zhu, Yucan
    Gavruta, Laura
    [J]. RESULTS IN MATHEMATICS, 2013, 63 (3-4) : 1243 - 1255
  • [3] Some Properties of K-Frames in Hilbert Spaces
    Xiangchun Xiao
    Yucan Zhu
    Laura Găvruţa
    [J]. Results in Mathematics, 2013, 63 : 1243 - 1255
  • [4] Some Properties of Continuous K-frames in Hilbert Spaces
    Rahimlou, Gholamreza
    Ahmadi, Reza
    Jafarizadeh, Mohammad Ali
    Nami, Susan
    [J]. SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2019, 15 (01): : 169 - 187
  • [5] SOME RESULTS ON CONTROLLED K-FRAMES IN HILBERT SPACES
    Nouri, M.
    Rahimi, A.
    Najafzadeh, Sh.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (01): : 62 - 74
  • [6] Weaving K-Frames in Hilbert Spaces
    Deepshikha
    Vashisht, Lalit K.
    [J]. RESULTS IN MATHEMATICS, 2018, 73 (02)
  • [7] INVARIANCE OF K-FRAMES IN HILBERT SPACES
    Li Xujin
    Leng Jinsong
    [J]. 2022 19TH INTERNATIONAL COMPUTER CONFERENCE ON WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING (ICCWAMTIP), 2022,
  • [8] Weaving K-Frames in Hilbert Spaces
    Lalit K. Deepshikha
    [J]. Results in Mathematics, 2018, 73
  • [9] On the Sum of K-Frames in Hilbert Spaces
    Miao He
    Jinsong Leng
    Jiali Yu
    Yuxiang Xu
    [J]. Mediterranean Journal of Mathematics, 2020, 17
  • [10] On the Sum of K-Frames in Hilbert Spaces
    He, Miao
    Leng, Jinsong
    Yu, Jiali
    Xu, Yuxiang
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (02)
12345