TY - JOUR ID - 684929 TI - Controlled g-frames in Hilbert C*-modules JO - Mathematical Analysis and its Contemporary Applications JA - MACA LA - en SN - AU - Sahu, Nabin Kumar AD - Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, India Y1 - 2021 PY - 2021 VL - 3 IS - 3 SP - 65 EP - 82 DO - 10.30495/maca.2021.1937063.1023 N2 - 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. UR - https://www.macajournal.com/article_684929.html L1 - https://www.macajournal.com/article_684929_6efd75923f552e09c7ddf37e0fc7c6be.pdf ER -