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May 2020 Characterizations of weaving $K$-frames
Animesh Bhandari, Debajit Borah, Saikat Mukherjee
Proc. Japan Acad. Ser. A Math. Sci. 96(5): 39-43 (May 2020). DOI: 10.3792/pjaa.96.008

Abstract

In distributed signal processing frames play significant role as redundant building blocks. Bemrose et al. were motivated from this concept, as a result they introduced weaving frames in Hilbert space. Weaving frames have useful applications in sensor networks, likewise weaving $K$-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator $K$. This article focuses on study, characterization of weaving $K$-frames in different spaces. Paley-Wiener type perturbations and conditions on erasure of frame components have been assembled to scrutinize woven-ness of $K$-frames.

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Animesh Bhandari. Debajit Borah. Saikat Mukherjee. "Characterizations of weaving $K$-frames." Proc. Japan Acad. Ser. A Math. Sci. 96 (5) 39 - 43, May 2020. https://doi.org/10.3792/pjaa.96.008

Information

Published: May 2020
First available in Project Euclid: 30 April 2020

zbMATH: 07213226
MathSciNet: MR4092563
Digital Object Identifier: 10.3792/pjaa.96.008

Subjects:
Primary: 42C15 , 47A30

Keywords: $K$-frame , frame , weaving

Rights: Copyright © 2020 The Japan Academy

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Vol.96 • No. 5 • May 2020
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