10.30495/maca.2021.1937063.1023

Controlled g-frames in Hilbert C*-modules

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  • Nabin Kumar Sahu1,
  1. Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, India.

Published in Issue 2021-06-21

How to Cite

Controlled g-frames in Hilbert C*-modules. (2021). Mathematical Analysis and Its Contemporary Applications, 3(3). https://doi.org/10.30495/maca.2021.1937063.1023

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Abstract

The controlled frame was introduced 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 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. At the end, some perturbation results on controlled g-frames are proved.

Keywords

  • Frame,
  • g-frame,
  • Hilbert C*-module
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References

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