Fusion框架系统的局部框架扰动的稳定性

Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (2): 228-238.

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Stability of Fusion Frame Systems under Perturbation of the Local Frame Vectors

Wang Wei, Zhu Yucan

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116

Received:2016-06-12 Revised:2016-11-24 Online:2017-04-26 Published:2017-04-26
Supported by:
Supported by the Natural Science Foundation of Fujian Province (2016J01014, 2014J01007) and the Office Fund of Fujian Provincial Education (JA14041)

Abstract

Abstract: This paper studies the relation between the two subspaces spanned by a frame sequence and its general perturbed version in Hilbert spaces by using the properties of orthogonal projection and the properties of dual frames. This paper also studies the stability of fusion frame systems under general perturbation of the local frame vectors. Our results generalize and improve the remarkable results which had been obtained by Casazza, Kutyniok and Li.

Key words: Frame sequence, Perturbation, Local frame, Fusion frame systems, Stability

CLC Number:

O171.1

Wang Wei, Zhu Yucan. Stability of Fusion Frame Systems under Perturbation of the Local Frame Vectors[J].Acta mathematica scientia,Series A, 2017, 37(2): 228-238.

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Stability of Fusion Frame Systems under Perturbation of the Local Frame Vectors

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