Vahid SADRI.Robustness and Iterative Reconstruction of $g$-Fusion Frames in Hilbert Spaces[J].数学研究及应用,2021,41(3):270~278
Robustness and Iterative Reconstruction of $g$-Fusion Frames in Hilbert Spaces
Robustness and Iterative Reconstruction of $g$-Fusion Frames in Hilbert Spaces
投稿时间:2020-01-08  修订日期:2021-03-11
DOI:10.3770/j.issn:2095-2651.2021.03.005
中文关键词:  Parseval frame  $g$-frame  $g$-fusion frame
英文关键词:Parseval frame  $g$-frame  $g$-fusion frame
基金项目:
作者单位
Vahid SADRI Department of Mathematics, Faculty of Tabriz Branch, Technical and Vocational University (TVU), East Azarbaijan, Iran 
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中文摘要:
      Regarding the application of the fusion frames and generalization of them in data proceeding, their iterative is of particular importance when one of their members is deleted. In this note, a method for reconstruction of generalized fusion frames and error operator with its upper bound are presented. Also, the approximation operator for these frames will be introduced and we study some results about them.
英文摘要:
      Regarding the application of the fusion frames and generalization of them in data proceeding, their iterative is of particular importance when one of their members is deleted. In this note, a method for reconstruction of generalized fusion frames and error operator with its upper bound are presented. Also, the approximation operator for these frames will be introduced and we study some results about them.
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