More on Inequalities for Weaving Frames in Hilbert Spaces

Zhong-Qi Xiang
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Zhong-Qi Xiang: College of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China

Mathematics, 2019, vol. 7, issue 2, 1-11

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.

Keywords: frame; weaving frame; weaving frame operator; alternate dual frame; Hilbert space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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