New Inequalities of Weaving K -Frames in Subspaces

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 9, 1-12

Abstract: 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.

Keywords: weaving frame; weaving K -frame; K -dual; pseudo-inverse (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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