Frame expansions in separable Banach spaces

被引：83

作者：

Casazza, P

Christensen, O

Stoeva, DT

机构：

[1] Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[3] Univ Architecture Civil Engn & Geodesy, Dept Math, Sofia 1046, Bulgaria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 307卷 / 02期

关键词：

frames; Banach frames; p-frames; expansions in Banach spaces;

D O I：

10.1016/j.jmaa.2005.02.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Banach frames are defined by straightforward generalization of (Hilbert space) frames. We characterize Banach frames (and X-d-frames) in separable Banach spaces, and relate them to series expansions in Banach spaces. In particular, our results show that we can not expect Banach frames to share all the nice properties of frames in Hilbert spaces. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：710 / 723

页数：14

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