We give a generalization of g-frame in Hilbert -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 -modules and give some equality and inequality of these frames.
Mehdi Rashidi Kouchi. Akbar Nazari. "Continuous g-Frame in Hilbert -Modules." Abstr. Appl. Anal. 2011 1 - 20, 2011. https://doi.org/10.1155/2011/361595