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http://dx.doi.org/10.11568/kjm.2021.29.1.41

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)
Publication Information
Korean Journal of Mathematics / v.29, no.1, 2021 , pp. 41-55 More about this Journal
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 $C^{\ast}$-modules;
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