Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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WOVEN g-FRAMES IN HILBERT C∗-MODULES

  • Rajput, Ekta (Dhirubhai Ambani Institute of Information and Communication Technology) ;
  • Sahu, Nabin Kumar (Dhirubhai Ambani Institute of Information and Communication Technology) ;
  • Mishra, Vishnu Narayan (Department of Mathematics, Indira Gandhi National Tribal University)
  • Received : 2020.08.19
  • Accepted : 2020.12.22
  • Published : 2021.03.30
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Abstract

Woven frames are motivated from distributed signal processing with potential applications in wireless sensor networks. g-frames provide more choices on analyzing functions from the frame expansion coefficients. The objective of this paper is to introduce woven g-frames in Hilbert C∗-modules, and to develop its fundamental properties. In this investigation, we establish sufficient conditions under which two g-frames possess the weaving properties. We also investigate the sufficient conditions under which a family of g-frames possess weaving properties.

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References

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