Oblique projections and frames

被引:9
|
作者
Antezana, J [1 ]
Corach, G
Ruiz, M
Stojanoff, D
机构
[1] Consejo Nacl Invest Cient & Tecn, IAM, La Plata, Argentina
[2] UNLP, FCE, Dept Matemat, La Plata, Argentina
[3] Consejo Nacl Invest Cient & Tecn, IAM, RA-1083 Ciudad Autonoma, Buenos Aires, Argentina
[4] FI UBA, Dept Matemat, RA-1083 Ciudad Autonoma, Buenos Aires, Argentina
关键词
Frames; Oblique projections;
D O I
10.1090/S0002-9939-05-08143-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H. We show that all frames with infinite excess and frame bounds 1 <= A <= B are of this type. This gives a generalization of a result of Han and Larson which only holds for normalized tight frames.
引用
收藏
页码:1031 / 1037
页数:7
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