Codiskcyclic sets of operators on complex topological vector spaces

Mohamed Amouch; Otmane Benchiheb

Codiskcyclic sets of operators on complex topological vector spaces

Functional Analysis 2021-02-25 v1

Authors: Mohamed Amouch , Otmane Benchiheb

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.

Keywords

hypercyclicity operator theory cyclic homology

Cite

@article{arxiv.2102.12174,
  title  = {Codiskcyclic sets of operators on complex topological vector spaces},
  author = {Mohamed Amouch and Otmane Benchiheb},
  journal= {arXiv preprint arXiv:2102.12174},
  year   = {2021}
}

Comments

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

Codiskcyclic sets of operators on complex topological vector spaces

Abstract

Keywords

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