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Frequently hypercyclic C-distribution semigroups and their generalizations

2018/09/07 by Marko Kostić, Kostic, Marko
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1809.02554

openalex publication_date 2018/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the notions of f-frequent hypercyclicity and \mathcal F-hypercyclicity for C-distribution semigroups in separable Fréchet spaces. We particularly analyze the classes of q-frequently hypercyclic C-distribution semigroups (q≥ 1) and frequently hypercyclic C-distribution semigroups, providing a great number of illustrative examples.

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