Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, India
Abstract
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.
Sahu,N. Kumar (2021). Controlled g-frames in Hilbert C*-modules. Mathematical Analysis and its Contemporary Applications, 3(3), 65-82. doi: 10.30495/maca.2021.1937063.1023
MLA
Sahu,N. Kumar. "Controlled g-frames in Hilbert C*-modules", Mathematical Analysis and its Contemporary Applications, 3, 3, 2021, 65-82. doi: 10.30495/maca.2021.1937063.1023
HARVARD
Sahu N. Kumar (2021). 'Controlled g-frames in Hilbert C*-modules', Mathematical Analysis and its Contemporary Applications, 3(3), pp. 65-82. doi: 10.30495/maca.2021.1937063.1023
CHICAGO
N. Kumar Sahu, "Controlled g-frames in Hilbert C*-modules," Mathematical Analysis and its Contemporary Applications, 3 3 (2021): 65-82, doi: 10.30495/maca.2021.1937063.1023
VANCOUVER
Sahu N. Kumar Controlled g-frames in Hilbert C*-modules. MACA, 2021; 3(3): 65-82. doi: 10.30495/maca.2021.1937063.1023
