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Woven Frames in Quaternionic Hilbert Spaces

Author

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  • S. K. Sharma
  • Nitin Sharma
  • Khole Timothy Poumai
  • Firdous A. Shah

Abstract

In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces. Also, a characterization of weaving frames in terms of a surjective-bounded right linear operator is given.

Suggested Citation

  • S. K. Sharma & Nitin Sharma & Khole Timothy Poumai & Firdous A. Shah, 2021. "Woven Frames in Quaternionic Hilbert Spaces," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, February.
    • Handle: RePEc:hin:jjmath:6694892
    DOI: 10.1155/2021/6694892
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    Cited by:

    1. Guoqing Hong & Pengtong Li, 2022. "Some Properties of Operator Valued Frames in Quaternionic Hilbert Spaces," Mathematics, MDPI, vol. 11(1), pages 1-9, December.

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