%0 Journal Article %T Controlled g-frames in Hilbert C*-modules %J Mathematical Analysis and its Contemporary Applications %I Research & Science Group Ltd %Z 2716-9898 %A Sahu, Nabin Kumar %D 2021 %\ 09/01/2021 %V 3 %N 3 %P 65-82 %! Controlled g-frames in Hilbert C*-modules %R 10.30495/maca.2021.1937063.1023 %X The controlled frame was introduced in 2010 by Balazs et al. [2], with the aim to improve the efficiency of the iterative algorithms constructed for inverting the frame operator. In this paper, the concept of controlled g-frames is introduced in Hilbert C*-modules. The equivalent condition for a controlled g-frame is established using the operator theoretic approach. Some characterizations of controlled g-frames and controlled g-Bessel sequences are found out. Moreover, the relationship between g-frames and controlled g-frames are established. In the end, some perturbation results on controlled g-frames are proved. %U https://www.macajournal.com/article_684929_6efd75923f552e09c7ddf37e0fc7c6be.pdf