Continuous Biframes in Hilbert C∗-Modules

Lfounoune, Abdellatif; Karara, Abdelilah; Rossafi, Mohamed

doi:10.28924/2291-8639-23-2025-104

Research Article

Continuous Biframes in Hilbert C∗-Modules

Abdellatif Lfounoune*
Abdelilah Karara
Mohamed Rossafi

* Corresponding author

Abstract

In this paper, we will introduce the concept of a continuous biframe for Hilbert C∗−modules. Then, we examine some characterizations of this biframe with the help of an invertible and adjointable operator is given. Moreover, we study continuous biframe Bessel multiplier and dual continuous biframe in Hilbert C∗−modules. Also, we develop the concept of continuous biframes in the tensor product of two Hilbert C∗-modules over a unital C∗-algebra A and provide some properties of invertible transformed biframes and Bessel multipliers in the tensor product.

How to Cite

A. Lfounoune, A. Karara, M. Rossafi, Continuous Biframes in Hilbert C∗-Modules, Int. J. Anal. Appl. 23 (2025), 104. https://doi.org/10.28924/2291-8639-23-2025-104

BibTeX

@article{Lfounoune2025,
  author  = {Lfounoune, Abdellatif and Karara, Abdelilah and Rossafi, Mohamed},
  title   = {Continuous Biframes in Hilbert C∗-Modules},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {104},
  doi     = {10.28924/2291-8639-23-2025-104}
}

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