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Mathematics 2019, 7(2), 141; https://doi.org/10.3390/math7020141

More on Inequalities for Weaving Frames in Hilbert Spaces

College of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China
Received: 14 January 2019 / Revised: 29 January 2019 / Accepted: 30 January 2019 / Published: 2 February 2019
(This article belongs to the Special Issue Inequalities)
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Abstract

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. View Full-Text
Keywords: frame; weaving frame; weaving frame operator; alternate dual frame; Hilbert space frame; weaving frame; weaving frame operator; alternate dual frame; Hilbert space
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Xiang, Z.-Q. More on Inequalities for Weaving Frames in Hilbert Spaces. Mathematics 2019, 7, 141.

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