More on Inequalities for Weaving Frames in Hilbert Spaces

In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more gener...

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Bibliographic Details
Published inMathematics (Basel) Vol. 7; no. 2; p. 141
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 02.02.2019
Subjects
alternate dual frame
Food science
frame
Frames
Hilbert space
Inequalities
Inequality
Real numbers
Signal processing
Weaving
weaving frame
weaving frame operator
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Summary:In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more general and cover the corresponding results recently obtained by Li and Leng. We also give a triangle inequality for weaving frames in Hilbert spaces, which is structurally different from previous ones.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7020141