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Codiskcyclic sets of operators on complex topological vector spaces

2021/02/24 by Mohamed Amouch, Amouch, Mohamed, Otmane Benchiheb +1
Decision Sciences · Mathematics · #47A16 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #math.FA #msc:47A16

paper · pdf · doi:10.48550/arxiv.2102.12174

10 pages. arXiv admin note: substantial text overlap with arXiv:1905.04507, arXiv:1810.07577

arxiv created 2021/02/24 · openalex publication_date 2021/02/24 · arxiv updated 2021/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a complex topological vector space and L(X) the set of all continuous linear operators on X. In this paper, we extend the notion of the codiskcyclicity of a single operator T∈ L(X) to a set of operators Γ⊂ L(X). We prove some results for codiskcyclic sets of operators and we establish a codiskcyclicity criterion. As an application, we study the codiskcyclicity of C0-semigroups of operators.

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