Operator Frames for Banach Spaces

被引：5
|
作者：
Li, Chun-Yan [1 ]
机构：
[1] Chongqing Univ Sci & Technol, Dept Math & Phys, Chongqing 401331, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2012年 / 6卷 / 01期
关键词：
Operator Bessel sequence; Operator frame; Operator Riesz basis; Banach space; P-FRAMES; SUBSPACES; DECOMPOSITIONS;
D O I：
10.1007/s11785-010-0076-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, operator Bessel sequences, operator frames, Banach operator frames, Operator Riesz bases for Banach spaces and dual frames of an operator frame are introduced and discussed. The necessary and sufficient condition for a Banach space to have an operator frame, a Banach operator frame or an operator Riesz basis are given. In addition, operator frames and operator Riesz bases are characterized by the analysis operator of operator Bessel sequences.
引用
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页码：1 / 21
页数：21
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