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 Generalized Continuous K-Weaving Frames

Shipra (1), Chander Shekhar (2) and Renu Chugh (3)

(1) Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India

Email address: shipra.kadiyan2502@gmail.com

 

(2) Department of Mathematics, Indraprastha college for Women ,University of Delhi, Delhi 110007, India

Email address: shekhar.hilbert@gmail.com

 

(3) Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India

Email address: chughrenu@yahoo.com

Doi : https://doi.org/10.47013/15.4.21

Cited by : Jordan J. Math & Stat., 15 (4B) (2022), 1111 - 1126

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Received on: Oct. 31, 2021;                                          Accepted on: March 23, 2022

 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.

Keywords: Weaving frames, Continuous frame.