New forms of bilateral inequalities for K-g-frames

Abstract

In this work, several bilateral inequalities for KK-gg-frames in subspaces are established, drawing support from two kinds of operators induced, respectively, by the KK-gg-frame itself and the KK-dual pair, which, compared with previous ones concerning this topic, possess novel structures. It is indicated that new types of inequalities for some other generalized frames can be naturally presented following our approaches.

Keywords

• k-dual pair
• pseudo-inverse operator
• bilateral inequality
• 42c15
• 42c40
• 46c50
• 47b40