Some Inequalities for g-Frames in Hilbert C *-Modules

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

Mathematics, 2018, vol. 7, issue 1, 1-10

Abstract: In this paper, we obtain new inequalities for g-frames in Hilbert C * -modules by using operator theory methods, which are related to a scalar λ ∈ R and an adjointable operator with respect to two g-Bessel sequences. It is demonstrated that our results can lead to several known results on this topic when suitable scalars and g-Bessel sequences are chosen.

Keywords: Hilbert C *-module; g-frame; g-Bessel sequence; adjointable operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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