Korean J. Math.  Vol 29, No 1 (2021)  pp.41-55
DOI: https://doi.org/10.11568/kjm.2021.29.1.41

Woven $g$-frames in Hilbert $C^*$-modules

Ekta Rajput, Nabin Kumar Sahu, Vishnu Narayan Mishra

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.


Keywords


Woven frames, g-frames, Hilbert $C^*$-modules

Subject classification

42C15, 46B15

Sponsor(s)



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