Some applications of interpolating sequences for Banach spaces of\n analytic functions

2020/10/14 by Hamzeh Keshavarzi, Keshavarzi, Hamzeh
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2010.06951

openalex publication_date 2020/10/14 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

M. J. Beltr 'an-Meneua et al. citebeltran1 and E. Jord 'a and A.\nRodr 'iguez-Arenas citejorda characterized the (uniformly) mean ergodic\ncomposition operators on H^\∞( mathbbD) and H^\∞_\ν\n( mathbbD), respectively. In this paper, by using the interpolating\nsequences, we give other necessary and sufficient conditions for the\n(uniformly) mean ergodicity of composition operators on these spaces.\n

Related

• Mean ergodic composition operators on H^∞(\mathbbB_n)
• Ergodic behaviors of composition operators acting on space of bounded holomorphic functions
• Mean ergodic composition operators on spaces of holomorphic functions on a Banach space
• Mean Ergodic Composition Operators on Banach spaces of holomorphic functions
• Mean and pointwise ergodicity for composition operators on rearrangement-invariant spaces