Biframes in Hilbert C^∗-modules

2023/12/23 by Mohamed Rossafi, Rossafi, Mohamed, Abdelilah Karara +3
Mathematics · #42C15 #46C05 #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.2312.15351

openalex publication_date 2023/12/23 · openalex created_date 2023/12/29 · openalex updated_date 2026/07/28

Abstract

In this paper, we will introduce the concept of biframes for Hilbert C^∗- modules produced by a pair of sequences, and we present various examples of biframes. Then, we examine the characteristics of biframes from the viewpoint of operator theory by establishing some properties of biframes in Hilbert C^∗- modules.

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