New double inequalities for g-frames in Hilbert [Formula: see text]-modules

Zhong-Qi Xiang

doi:10.1186/s40064-016-2731-2

New double inequalities for g-frames in Hilbert [Formula: see text]-modules

Springerplus. 2016 Jul 8;5(1):1025. doi: 10.1186/s40064-016-2731-2. eCollection 2016.

Author

Zhong-Qi Xiang¹

Affiliation

¹ College of Mathematics and Computer Science, Shangrao Normal University, Shangrao, 334001 People's Republic of China.

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].

Keywords: Hilbert [Formula: see text]-module; Inequality; Scalar; g-Frame.