希尔伯特空间上近似对偶g-框架的扰动新结果及特征刻画

doi:10.6040/j.issn.1671-9352.0.2015.397

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (6): 49-56.doi: 10.6040/j.issn.1671-9352.0.2015.397

希尔伯特空间上近似对偶g-框架的扰动新结果及特征刻画

张伟¹,付艳玲²

1.北京工业大学应用数理学院, 北京 100124;2.河南财政税务高等专科学校信息工程系, 河南郑州 451464

收稿日期:2015-08-24 出版日期:2016-06-20 发布日期:2016-06-15
作者简介:张伟(1979— ),男,博士研究生,讲师,研究方向为小波分析及其应用、框架理论. E-mail:zwfylhappy@126.com
基金资助:
国家自然科学基金资助项目(11271037)

New perturbation results and characterization on approximately dual g-frames in hilbert spaces

ZHANG Wei¹, FU Yan-ling²

1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;
2. Department of Information Engineering, Henan Finance and Taxation College, Zhengzhou 451464, Henan, China

Received:2015-08-24 Online:2016-06-20 Published:2016-06-15

摘要/Abstract

摘要： 得到了Hilbert空间近似对偶g-框架扰动的一些新结果;给出g-框架的近似对偶精确表达及其一些充分条件。

关键词: g-框架, 近似对偶g-框架, 扰动

Abstract: In this paper, some new results on approximately dual g-frames perturbation are presented. An explicit expression and some sufficient conditions for approximately dual g-frames are given.

Key words: perturbation, g-frames, approximately dual g-frames

中图分类号:

O174.2

张伟,付艳玲. 希尔伯特空间上近似对偶g-框架的扰动新结果及特征刻画[J]. 山东大学学报（理学版）, 2016, 51(6): 49-56.

ZHANG Wei, FU Yan-ling. New perturbation results and characterization on approximately dual g-frames in hilbert spaces[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(6): 49-56.

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希尔伯特空间上近似对偶g-框架的扰动新结果及特征刻画

New perturbation results and characterization on approximately dual g-frames in hilbert spaces

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