Codiskcyclic sets of operators on complex topological vector spaces

• Amouch, Mohamed ; Benchiheb, Otmane ^[1]
  1. [1] Chouaib Doukkali University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 6, 2022, págs. 1439-1456
• Idioma: inglés
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• Resumen

  • 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.