Some Properties of K-Frames in Quaternionic Hilbert Spaces

被引：8
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
  • [41] On Constructions of K–g-Frames in Hilbert Spaces
    F. Javadi
    M. J. Mehdipour
    Mediterranean Journal of Mathematics, 2021, 18
  • [42] New aspects of weaving K-frames: the excess and duality
    Moghaddam, Elahe Agheshteh
    Arefijamaal, Ali Akbar
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2024, 53 (03): : 652 - 666
  • [43] On the Weak Topology of Quaternionic Hilbert Spaces
    M. Fashandi
    Advances in Applied Clifford Algebras, 2019, 29
  • [44] Localization Operators on Quaternionic Hilbert Spaces
    Esmaeelzadeh, Fatemeh
    Langari, Malihe
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 45 (04): : 1355 - 1360
  • [45] On Weaving Fusion Frames for Hilbert Spaces
    Deepshikha
    Garg, Saakshi
    Vashisht, Lalit K.
    Verma, Geetika
    2017 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2017, : 381 - 385
  • [46] On the Weak Topology of Quaternionic Hilbert Spaces
    Fashandi, M.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2019, 29 (01)
  • [47] Localization Operators on Quaternionic Hilbert Spaces
    Fatemeh Esmaeelzadeh
    Malihe Langari
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 1355 - 1360
  • [48] 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
  • [49] Greedy Algorithms and Approximation Properties for Frames in Hilbert Spaces
    K. T. Poumai
    S. K. Kaushik
    Sampling Theory in Signal and Image Processing, 2018, 17 (1): : 73 - 94
  • [50] ON WEAVING FRAMES IN HILBERT SPACES
    Li, Dongwei
    Jiang, Jing
    Xu, Yuxiang
    OPERATORS AND MATRICES, 2023, 17 (03): : 809 - 822
12345