On some equalities and inequalities of continuous g-frames in Hilbert C*-modules

Abstract

Continuous g-frame in Hilbert C*-module is a generalization of g-frame in Hilbert C*- module. This generalization is a natural generalization of continuous and discrete g-frame and frame in Hilbert space too. Some equalities and inequalities of continuous g-frames in Hilbert C*-module has been verified. In this paper we present some others equalities and inequalities of continuous g-frames in Hilbert C*-module. These equalities and inequalities are generalization of some equalities and inequalities in frame and g-frame in Hilbert C*-modules and Hilbert space. Also continuous g-frame identity in Hilbert C*- modules is discussed.