On Frames in Hilbert Modules Over Locally C∗-Algebras

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DOI: https://doi.org/10.28924/2291-8639-21-2023-130
Published: Nov 28, 2023
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Roumaissae El Jazzar, Rossafi Mohamed, On Frames in Hilbert Modules Over Locally C∗-Algebras, Int. J. Anal. Appl., 21 (2023), 130.

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Roumaissae El Jazzar, Rossafi Mohamed

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.

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References

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