Continuous g-Frame in Hilbert C∗-Modules

Abstract EN

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.