Perturbation and Stability of Continuous Operator Frames in Hilbert    C  ∗  -Modules | Zendy

Abdeslam Touri | Zendy; Hatim Labrigui | Zendy; Mohamed Rossafi | Zendy; Samir Kabbaj | Zendy

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Perturbation and Stability of Continuous Operator Frames in Hilbert

C^{*}

-Modules

Author(s) -

Abdeslam Touri,

Hatim Labrigui,

Mohamed Rossafi,

Samir Kabbaj

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5576534

Subject(s) - mathematics , operator (biology) , frame (networking) , hilbert space , algebra over a field , discrete mathematics , pure mathematics , computer science , telecommunications , biochemistry , chemistry , repressor , transcription factor , gene

Frame theory has a great revolution in recent years. This theory has been extended from the Hilbert spaces to Hilbert C ∗ -modules. In this paper, we consider the stability of continuous operator frame and continuous K -operator frames in Hilbert C ∗ -modules under perturbation, and we establish some properties.

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