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math.FA2026
A Metric Framework for Approximate Transitivity, Mixing, and Hypercyclicity
Hadi Obaid Alshammari, Otmane Benchiheb, Dimitrios Chiotis
We study metric versions of transitivity, mixing, and hypercyclicity for continuous maps, based on intersections of the form \( f^{n}(U)\cap B_δ(V)\neq\varnothing. \) We introduce…
math.FA2020
Exterior products of operators and superoptimal analytic approximation
Dimitrios Chiotis, Zinaida Lykova, Nicholas Young
We give a new algorithm for the construction of the unique superoptimal analytic approximant of a given continuous matrix-valued function on the unit circle, making use of exterior…