FINITE EXTENSIONS OF BESSEL SEQUENCES

被引：10

作者：

Bakic, Damir ^{[1
]}

Beric, Tomislav ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 9卷 / 04期

关键词：

Bessel sequence; frame; Parseval frame; FRAMES;

D O I：

10.15352/bjma/09-4-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies finite extensions of Bessel sequences in infinite-dimensional Hilbert spaces. We provide a characterization of Bessel sequences that can be extended to frames by adding finitely many vectors. We also characterize frames that can be converted to Parseval frames by finite-dimensional perturbations. Finally, some results on excesses of frames and near-Riesz bases are derived.

引用

页码：1 / 13

页数：13

共 11 条

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