Continuous Biframes in Hilbert C∗-Modules
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.
Authors
- Mohamed Rossafi (ORCID: https://orcid.org/0000-0002-5662-6921)
- Abdelilah Karara
- Abdellatif Lfounoune
Publication Details
- Journal
- International Journal of Analysis and Applications
- Published
- 2025-05-08
- DOI
- https://doi.org/10.28924/2291-8639-23-2025-104
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00