DUAL PAIR AND APPROXIMATE DUAL FOR CONTINUOUS FRAMES IN HILBERT SPACES

被引:0
|
作者
Rahimi, Asghar [1 ]
Darvishi, Zahra [1 ]
Daraby, Bayaz [1 ]
机构
[1] Univ Maragheh, Dept Math, Maragheh, Iran
来源
MATHEMATICAL REPORTS | 2019年 / 21卷 / 02期
关键词
continuous frame; continuous Riesz basis; dual continuous frame; approximate dual continuous frame; OPERATORS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this manuscript, the concept of dual and approximate dual for continuous frames in Hilbert spaces will be introduced. Some of its properties will be studied. Also, the relations between two continuous Riesz bases in Hilbert spaces will be clarified through examples.
引用
收藏
页码:173 / 191
页数:19
相关论文
共 50 条
  • [21] Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames
    Tian, Yu
    Zhang, Wei
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2025, 46 (01) : 68 - 87
  • [22] CONTINUOUS FRAMES IN HILBERT SPACES
    Rahimi, A.
    Najati, A.
    Dehghan, Y. N.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2006, 12 (02): : 170 - 182
  • [23] Controlled g-frames and dual g-frames in Hilbert spaces
    Hui-Min Liu
    Yan-Ling Fu
    Yu Tian
    Journal of Inequalities and Applications, 2023
  • [24] OBLIQUE DUAL FRAMES IN FINITE-DIMENSIONAL HILBERT SPACES
    Xiao, Xiang-Chun
    Zhu, Yu-Can
    Zeng, Xiao-Ming
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2013, 11 (02)
  • [25] Controlled g-dual frames and their approximates in Hilbert spaces
    Ramezani, Sayyed Mehrab
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (02): : 421 - 429
  • [26] Controlled g-frames and dual g-frames in Hilbert spaces
    Liu, Hui-Min
    Fu, Yan-Ling
    Tian, Yu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [27] STABILITY OF DUAL g-FUSION FRAMES IN HILBERT SPACES
    Ghosh, Prasenjit
    Samanta, T. K.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2020, 26 (03): : 227 - 240
  • [28] G-dual Frames in Hilbert C*-module Spaces
    Ghobadzadeh, Fatemeh
    Najati, Abbas
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 11 (01): : 65 - 79
  • [29] Frames for the Solution of Operator Equations in Hilbert Spaces with Fixed Dual Pairing
    Balazs, Peter
    Harbrecht, Helmut
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (01) : 65 - 84
  • [30] Characterization and stability of approximately dual g-frames in Hilbert spaces
    Yan-Ling Fu
    Wei Zhang
    Journal of Inequalities and Applications, 2018