GENERALIZED p-FRAME IN SEPARABLE COMPLEX BANACH SPACES

被引：5
|
作者：
Xiao, Xiang-Chun [1 ]
Zhu, Yu-Can [2 ]
Zeng, Xiao-Ming [1 ]
机构：
[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
[2] Fuzhou Univ, Dept Math & Comp Sci, Fuzhou 350002, Peoples R China
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2010年 / 8卷 / 01期
基金：
中国国家自然科学基金;
关键词：
g-p-frame; g-q-Riesz basis; g-p-Bessel sequence; complex Banach spaces; stability; RIESZ BASES; HILBERT-SPACES; FUSION FRAMES; SUBSPACES; OPERATORS;
D O I：
10.1142/S0219691310003419
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The concept of g-frame and g-Riesz basis in a complex Hilbert space was introduced by Sun. 18 In this paper, we generalize the g-frame and g-Riesz basis in a complex Hilbert space to a complex Banach space. Using operators theory and methods of functional analysis, we give some characterizations of a g-frame or a g-Riesz basis in a complex Banach space. We also give a result about the stability of g-frame in a complex Banach space.
引用
收藏
页码：133 / 148
页数：16
相关论文
共 50 条
  • [1] Frame expansions in separable Banach spaces
    Casazza, P
    Christensen, O
    Stoeva, DT
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 307 (02) : 710 - 723
  • [2] p-Frames in Separable Banach Spaces
    Ole Christensen
    Diana T. Stoeva
    Advances in Computational Mathematics, 2003, 18 : 117 - 126
  • [3] p-frames in separable Banach spaces
    Christensen, O
    Stoeva, DT
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2003, 18 (2-4) : 117 - 126
  • [4] SEPARABLE BANACH SPACES CONTAINING ALL SEPARABLE REFLEXIVE BANACH SPACES
    WOJTASZCAZYK, P
    STUDIA MATHEMATICA, 1971, 37 (02) : 197 - +
  • [5] The P-frame reflection of a completely regular frame
    Ball, Richard N.
    Walters-Wayland, Joanne
    Zenk, Eric
    TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (14) : 1778 - 1794
  • [6] The minimizers of the p-frame potential
    Xu, Zhiqiang
    Xu, Zili
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 52 : 366 - 379
  • [7] Generalized Ornstein-Uhlenbeck processes on separable Banach spaces
    Mandrekar, V.
    Ruediger, B.
    SEMINAR ON STOCHASTIC ANALYSIS, RANDOM FIELDS AND APPLICATIONS V, 2008, 59 : 261 - +
  • [8] P-FRAME CODING WITH GENERALIZED DIFFERENCE: A NOVEL CONDITIONAL CODING APPROACH
    Brand, Fabian
    Seiler, Juergen
    Kaup, Andre
    2022 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, ICIP, 2022, : 1266 - 1270
  • [9] Bochner p-Frame of Subspaces
    Faroughi, Mohammad H.
    Rahmani, Morteza
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2013, 37 (02) : 181 - 192
  • [10] Deep Video Compression for P-frame in Sub-sampled Color Spaces
    Lin, Rongqun
    Zhang, Pingping
    Wang, Meng
    Wang, Shiqi
    Kwong, Sam
    2022 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS 22), 2022, : 3200 - 3204
12345