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arXiv · 2102.12174

Codiskcyclic sets of operators on complex topological vector spaces

Mohamed Amouch·Otmane Benchiheb
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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 $T\in L(X)$ to a set of operators $\Gamma\subset L(X).$ We prove some results for codiskcyclic sets of operators and we establish a codiskcyclicity criterion. As an application, we study the codiskcyclicity of $C_0$-semigroups of operators.

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Mohamed Amouch, Otmane Benchiheb. 2021-02-24. Codiskcyclic sets of operators on complex topological vector spaces. https://arxiv.org/abs/2102.12174

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