ε-hypercyclic operators that are not δ-hypercyclic for δ < ε

2023/03/29 by Bayart, Frédéric
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2303.16677

Abstract

For every fixed ε ∈ (0, 1), we construct an operator on the separable Hilbert space which is δ-hypercyclic for all δ ∈ (ε, 1) and which is not δ-hypercyclic for all δ ∈ (0, ε).

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