2014/04/24 by Daniel Li, Li, Daniel, Hervé Queffélec +3 · 1 citation
Mathematics · #Advanced Topics in Algebra #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1404.6035
openalex publication_date 2014/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the decay of approximation numbers of compact composition operators on the Dirichlet space D can be as slow as we wish, which was left open in the cited work. We also prove the optimality of a result of O.~El-Fallah, K.~Kellay, M.~Shabankhah and A.~Youssfi on boundedness on D of self-maps of the disk all of whose powers are norm-bounded in D.