New Properties of Frames

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DOI: https://doi.org/10.28924/2291-8639-22-2024-206
Published: Nov 11, 2024
Cite as:
Hamid Faraj, Mohamed Maghfoul, New Properties of Frames, Int. J. Anal. Appl., 22 (2024), 206.

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Hamid Faraj, Mohamed Maghfoul

Abstract

Let H be a finite-dimentional complex Hilbert space and l2(H) is the space of square summable sequences in H. We will give a new characterization of a frame for H, we give our definition of a frame for the Hilbert space l2(H), we also define and give the properties of the frame operator. We equally show that our definition is equivalent to the definition of a frame for the Hilbert space H. Finally, we give a way to construct frames for l2(Hn) from frames for l2(Hp) such that p<n via fusion frame theory.

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