Convergence and preservation of cyclicity

2022/05/09 by Alejandra Aguilera, Aguilera, Alejandra, Daniel Seco +1 · 2 citations
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.2205.04303

Abstract

We prove the property that a function is cyclic (resp., non-cyclic) is not preserved by norm convergence in Dirichlet-type spaces D_α, and show how other significant quantities for cyclicity do remain preserved under the limit of convergent sequences in D_α, providing a quantitative view of this convergence issue.

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