title: New double inequalities for g-frames in Hilbert [Formula: see text]-modules.
abstract: In this work, we establish two types of double inequalities for g-frames in Hilbert [Formula: see text]-modules, which involve scalars [Formula: see text] and [Formula: see text] respectively. It is shown that the results we obtained can immediately lead to the existing corresponding results when taking [Formula: see text].
authors.affiliation: College of Mathematics and Computer Science, Shangrao Normal University, Shangrao, 334001 People's Republic of China.
authors.forename: Zhong-Qi
authors.initials: ZQ
authors.lastname: Xiang
keywords: Hilbert [Formula: see text]-module; Inequality; Scalar; g-Frame