In this paper, we present several new inequalities for weaving frames in Hilbert spaces\nfrom the point of view of operator theory, which are related to a linear bounded operator induced by\nthree Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more\ngeneral and cover the corresponding results recently obtained by Li and Leng. We also give a triangle\ninequality for weaving frames in Hilbert spaces, which is structurally different from previous ones.
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