Existence of Parseval oblique duals of a frame sequence

被引：2
|
作者：
Koo, Yoo Young [1 ]
Lim, Jae Kun [2 ]
机构：
[1] Yonsei Univ, Univ Coll, Seoul 120749, South Korea
[2] Hankyong Natl Univ, Dept Appl Math, Anseongsi 456749, Gyeonggido, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 404卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Frame; Frame sequence; Oblique dual; Excess; Isometry; SPACES;
D O I：
10.1016/j.jmaa.2013.03.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a collection of necessary and sufficient conditions for the existence of a Parseval oblique dual (in an appropriate subspace) of a frame sequence. This result extends the previous results by Han and Larson, Antezana et al. and Han. Our proof shows that the problem is closely related with that of extending an operator with norm less than or-equal to 1 to an isometry on a subspace. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：470 / 476
页数：7
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