New Properties of Frames

Faraj, Hamid; Maghfoul, Mohamed

doi:10.28924/2291-8639-22-2024-206

Research Article

New Properties of Frames

Hamid Faraj*
Mohamed Maghfoul

* Corresponding author

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(H^p) such that p<n via fusion frame theory.

How to Cite

H. Faraj, M. Maghfoul, New Properties of Frames, Int. J. Anal. Appl. 22 (2024), 206. https://doi.org/10.28924/2291-8639-22-2024-206

BibTeX

@article{Faraj2024,
  author  = {Faraj, Hamid and Maghfoul, Mohamed},
  title   = {New Properties of Frames},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {206},
  doi     = {10.28924/2291-8639-22-2024-206}
}

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