On supercyclic sets of operators

Mohamed Amouch; Otmane Benchiheb

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arXiv · 1810.07577

On supercyclic sets of operators

Mohamed Amouch·Otmane Benchiheb

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Abstract

Let $X$ be a complex topological vector space with dim$(X)>1$ and $\mathcal{B}(X)$ the space of all continuous linear operators on $X$. In this paper, we extend the concept of supercyclicity of a single operators and strongly continuous semigroups of operators to a subset of $\mathcal{B}(X)$. We establish some results for supercyclic set of operators and we give some applications for strongly continuous semigroups of operators and $C$-regularized group of operators.

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BibTeX RIS

Mohamed Amouch, Otmane Benchiheb. 2018-10-17. On supercyclic sets of operators. https://arxiv.org/abs/1810.07577

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