PERTURBATION OF FRAMES IN BANACH SPACES

被引：8
|
作者：
Stoeva, Diana T. [1 ]
机构：
[1] Univ Architecture Civil Engn & Geodesy, Dept Math, Blvdristo Smirnenski 1, Sofia 1046, Bulgaria
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2012年 / 5卷 / 01期
关键词：
Perturbation; Banach frame; atomic decomposition; X-d-Riesz basis; X-d-frame; X-d-Besselsequence; Hilbert frame;
D O I：
10.1142/S1793557112500118
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider perturbation of several frame-concepts in separable Banach spaces. We determine stability conditions with sharp bounds and discuss the necessity of some of them. Further, we investigate equivalence between several perturbation conditions. In particular, a result for tight frames for Hilbert spaces is obtained.
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页数：15
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