On Frames in Hilbert Modules Over Locally C∗-Algebras

El Jazzar, Roumaissae; Mohamed, Rossafi

doi:10.28924/2291-8639-21-2023-130

Research Article

On Frames in Hilbert Modules Over Locally C∗-Algebras

Roumaissae El Jazzar
Rossafi Mohamed*

* Corresponding author

Abstract

Frame is a fundamental notion in the study of vector spaces; they offer redundancy and flexibility, which favor their application in various fields of mathematics. This article aims to collect important results of frames in Hibert pro-C∗-modules: Frame, ∗-frame, ∗-K-frame, g-frame, ∗-gframe, ∗-K-g-frame, operator frame, ∗-operator frame, ∗-K-operator frames. We also prove some new notions.

How to Cite

R. El Jazzar, R. Mohamed, On Frames in Hilbert Modules Over Locally C∗-Algebras, Int. J. Anal. Appl. 21 (2023), 130. https://doi.org/10.28924/2291-8639-21-2023-130

BibTeX

@article{Jazzar2023,
  author  = {El Jazzar, Roumaissae and Mohamed, Rossafi},
  title   = {On Frames in Hilbert Modules Over Locally C∗-Algebras},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {130},
  doi     = {10.28924/2291-8639-21-2023-130}
}

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