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More on Inequalities for Weaving Frames in Hilbert Spaces

Author

Listed:
  • Zhong-Qi Xiang

    (College of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China)

Abstract

In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more general and cover the corresponding results recently obtained by Li and Leng. We also give a triangle inequality for weaving frames in Hilbert spaces, which is structurally different from previous ones.

Suggested Citation

  • Zhong-Qi Xiang, 2019. "More on Inequalities for Weaving Frames in Hilbert Spaces," Mathematics, MDPI, vol. 7(2), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:141-:d:203005
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    Citations

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    Cited by:

    1. Zhong-Qi Xiang, 2019. "New Inequalities of Weaving K -Frames in Subspaces," Mathematics, MDPI, vol. 7(9), pages 1-12, September.
    2. Osmin Ferrer & Arley Sierra & José Sanabria, 2021. "Soft Frames in Soft Hilbert Spaces," Mathematics, MDPI, vol. 9(18), pages 1-15, September.

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