Generalized Continuous K-Weaving Frames

Authors

  • Shipra
  • Chander Shekhar
  • Renu Chugh

Keywords:

Weaving frames, Continuous frame.

Abstract

Motivated with the study of discrete weaving frames by Bemrose et al. in 2015, we study generalized continuous K-weaving frames in Hilbert spaces and prove some new basic properties. Also, we prove a sufficient condition for generalized continuous K-frame to be woven. Further, we prove that generalized continuous K-weaving frames remain woven under invertible operator. Finally, we give Paley-Wiener type perturbation results for generalized continuous K-weaving frames.

Key words and phrases. Weaving frames, Continuous frame.

2010 Mathematics Subject Classification. 42C15, 42C38

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Published

2025-05-18

How to Cite

Shipra, Chander Shekhar, & Renu Chugh. (2025). Generalized Continuous K-Weaving Frames. Jordan Journal of Mathematics and Statistics, 15(4B), 1111–1126. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/718

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