2019/10/16 by Marzieh Hasannasab, Hasannasab, Marzieh
Mathematics · Medicine · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications
paper · pdf · doi:10.48550/arxiv.1910.07243
openalex publication_date 2019/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we give new characterizations of modular Riesz bases in Hilbert C^*-modules. We prove that modular Riesz bases share many properties with Riesz bases in Hilbert spaces. Moreover we show that there are also important differences; for example, there exist exact frames that are not modular Riesz bases.