公共超循环向量与参数集的维数

IF 1.2 2区数学 Q1 MATHEMATICS

Indiana University Mathematics Journal Pub Date : 2021-03-24 DOI:10.1512/iumj.2022.71.9369

F. Bayart, Fernando Costa, Q. Menet

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引用次数: 2

摘要

我们研究了作用于同一Banach空间X上的超循环算子族（Tλ）λ∈∧的一个公共超循环向量的存在性→ Tλx，x∈x，n∈n。

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Common hypercyclic vectors and dimension of the parameter set

We investigate the existence of a common hypercyclic vector for a family (Tλ)λ∈Λ of hypercyclic operators acting on the same Banach space X. We give positive and negative results involving the dimension of Λ and the regularity of each map λ ∈ Λ 7→ T λ x, x ∈ X, n ∈ N.

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