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arXiv · 2205.04303

Convergence and preservation of cyclicity

Alejandra Aguilera·Daniel Seco
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Abstract

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

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Alejandra Aguilera, Daniel Seco. 2022-05-09. Convergence and preservation of cyclicity. https://arxiv.org/abs/2205.04303

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