Continuous biframes in Hilbert C^∗-modules

2023/12/17 by Lfounoune, Abdellatif, Abdelilah Karara, Karara, Abdelilah +2
Mathematics · #41A58 #42C15 #46L05 #47B90 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2312.10846

openalex publication_date 2023/12/17 · openalex created_date 2023/12/20 · openalex updated_date 2026/07/28

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.

Related

• Biframes in Hilbert C^∗-modules
• Introduction to Continuous biframes in Hilbert spaces and their tensor products
• Construction of continuous K-g-Frames in Hilbert C^∗-Modules
• On perturbation of continuous frames in Hilbert C*-modules
• Continuous ∗-g-Frame in Hilbert C^∗-Modules