Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces

被引：3
|
作者：
Guo, Xunxiang [1 ]
机构：
[1] Southwestern Univ Finance & Econ, Dept Math, Chengdu 611130, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年
关键词：
ORTHONORMAL BASES;
D O I：
10.1155/2013/931367
中图分类号：
学科分类号：
摘要：
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-frames, and g-Riesz bases in terms of the g-preframe operators. Then we consider the transformations of g-frames, normalized tight g-frames, and g-Riesz bases, which are induced by operators and characterize them in terms of the operators. Finally, we discuss the sums and g-dual frames of g-frames by applying the results of characterizations.
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页数：9
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