Continuous Biframes in Hilbert C∗-Modules

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DOI: https://doi.org/10.28924/2291-8639-23-2025-104
Published: May 8, 2025
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Abdellatif Lfounoune, Abdelilah Karara, Mohamed Rossafi, Continuous Biframes in Hilbert C∗-Modules, Int. J. Anal. Appl., 23 (2025), 104.

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Abdellatif Lfounoune, Abdelilah Karara, Mohamed Rossafi

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.

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