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.
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页码：133 / 148
页数：16
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