New Inequalities of Weaving K-Frames in Subspaces

In the present paper, we obtain some new inequalities for weaving K-frames in subspaces based on the operator methods. The inequalities are associated with a sequence of bounded complex numbers and a parameter λ ∈ R . We also give a double inequality for weaving K-frames with the help of two bounded...

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Bibliographic Details
Published inMathematics (Basel) Vol. 7; no. 9; p. 863
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2019
Subjects
Complex numbers
Frames
Inequalities
Inequality
K-dual
Linear operators
Mathematics
pseudo-inverse
Signal processing
Subspaces
Weaving
weaving frame
weaving K-frame
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Summary:In the present paper, we obtain some new inequalities for weaving K-frames in subspaces based on the operator methods. The inequalities are associated with a sequence of bounded complex numbers and a parameter λ ∈ R . We also give a double inequality for weaving K-frames with the help of two bounded linear operators induced by K-dual. Facts prove that our results cover those recently obtained on weaving frames due to Li and Leng, and Xiang.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7090863