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Power boundedness in Fourier and Fourier-Stieltjes algebra of an ultraspherical hypergroup

2023/09/20 by Reza Esmailvandi, Esmailvandi, Reza, Mehdi Nemati +3
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.2309.11074

openalex publication_date 2023/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let H be an ultraspherical hypergroup associated with a locally compact group G and a spherical projector π and let A(H) and B(H) denote the Fourier and Fourier-Stieltjes algebras, respectively, associated with H. In this note, we study power boundedness and Cesàro boundedness in B(H). We also characterize the power bounded property for both A(H) and B(H).

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