Korean J. Math. Vol. 29 No. 4 (2021) pp.725-732
DOI: https://doi.org/10.11568/kjm.2021.29.4.725

Sharpening lower bound in some inequalities for Frames in Hilbert spaces

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Published: Dec 30, 2021
Keywords:
2-Hilbert space, 2-Frame, 2-Frame operator.
Mathematics Subject Classification:
42C15, 94A12.

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Fahimeh Sultanzadeh
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Mahmood Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Mohsen Erfanian Omidvar
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Rajab Ali kamyabi Gol
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

Abstract

This paper aims to present a new lower bound for some inequalities related to Frames in Hilbert space. Some refinements of the inequalities for general frames and alternate dual frames under suitable conditions are given. These results refine the remarkable results obtained by Balan et al. and Gavruta.



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References

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