Continuous g-Frame in Hilbert C ∗ -Modules

Abstract

We give a generalization of g-frame in Hilbert $C^{*}$-modules that was introduced by Khosravies then investigated some properties of it by Xiao and Zeng. This generalization is a natural generalization of continuous and discrete g-frames and frame in Hilbert space too. We characterize continuous g-frame g-Riesz in Hilbert $C^{*}$-modules and give some equality and inequality of these frames.