Weaving K-fusion frames in hilbert spaces

Weaving K-fusion frames in hilbert spaces
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DOI:
10.3934/mfc.2020008
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发表时间:
2020
期刊:
Math. Found. Comput.
影响因子:
--
通讯作者:
Hanbing Liu;Yongdong Huang;Chongjun Li
Hanbing Liu;Yongdong Huang;Chongjun Li
中科院分区:
其他
文献类型:
--
作者:
Hanbing Liu;Yongdong Huang;Chongjun Li

文献摘要

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\begin{document}$ K $\end{document} -fusion frames are generalizations of fusion frames in frame theory. In this paper, based on the weaving frames and \begin{document}$ K $\end{document} -fusion frames, we propose the notion of weaving \begin{document}$ K $\end{document} -fusion frames and conduct relevant research. First, we give some characterizations of weaving \begin{document}$ K $\end{document} -fusion frames. Then, by means of operator theory and frame theory, we present several novel construction approaches of weaving \begin{document}$ K $\end{document} -fusion frames. Finally, we discuss transitivity of weaving \begin{document}$ K $\end{document} -fusion frames.