Perturbation of frames and atomic decompositions for Banach spaces

被引：0
|
作者：
Xin, Jie [1 ]
Zhai, Jingang [1 ]
Guo, Hongxia [1 ]
Sha, Xiuyan [1 ]
机构：
[1] Ludong Univ, Coll Math & Informat, Yantai 264025, Peoples R China
来源：
General System and Control System, Vol I | 2007年
关键词：
frame; atomic decomposition; perturbation;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we study the perturbation of frames and atomic decompositions for Banach spaces by utilizing the theory of frames.
引用
收藏
页码：42 / 45
页数：4
相关论文
共 50 条
  • [41] A Note on Exact Frames in Banach Spaces
    Semthanga, B.
    Kumari, Mina
    Kumari, Sandeep
    Sharma, Raksha
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
  • [42] DESCRIBING FUNCTIONS - ATOMIC DECOMPOSITIONS VERSUS FRAMES
    GROCHENIG, K
    [J]. MONATSHEFTE FUR MATHEMATIK, 1991, 112 (01): : 1 - 41
  • [43] WOVEN (WEAVING) FRAMES IN BANACH SPACES
    Rahimi, Asghar
    Basati, Sara
    Daraby, Bayaz
    Shah, Firdous A.
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (02): : 181 - 197
  • [44] Continuous Schauder Frames for Banach Spaces
    Eisner, Joseph
    Freeman, Daniel
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (04)
  • [45] COMPUTABLE FRAMES IN COMPUTABLE BANACH SPACES
    Kaushik, S. K.
    Mantry, Poonam
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2016, 11 (02): : 93 - 100
  • [46] Banach frames for multivariate α-modulation spaces
    Borup, Lasse
    Nielsen, Morten
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (02) : 880 - 895
  • [47] Coefficient quantization for frames in Banach spaces
    Casazza, P. G.
    Dilworth, S. J.
    Odell, E.
    Schlumprecht, Th.
    Zsak, A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 66 - 86
  • [48] PG-FRAMES IN BANACH SPACES
    Abdollahpour, M. R.
    Faroughi, M. H.
    Rahimi, A.
    [J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2007, 13 (03): : 201 - 210
  • [49] DUALITY OF OPERATOR FRAMES IN BANACH SPACES
    Li, Chunyan
    Fan, Qibin
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (02): : 139 - 150
  • [50] Atomic decompositions of Banach-spacevalued martingales
    Peide Liu
    Youliang Hou
    [J]. Science in China Series A: Mathematics, 1999, 42 : 38 - 47
12345