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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

On linear dynamics of sets of operators

Otmane BENCHIHEB
Mohamed AMOUCH
Pages
402–411
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We extend some results known for a single operator andC0 -semigroup to a subset of B(X) and we give applications for C-regularized groups of operators.

📌 3 Key Takeaways

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Objective & Hypothesis:Let X be a complex topological vector space with dim(X) > 1 and B(X) the set of all continuous linearoperators on X.
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Key Findings & Data:The concept of hypercyclicity for a subset of B(X) was introduced in [1].
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Conclusion & Impact:We extend some results known for a single operator andC0 -semigroup to a subset of B(X) and we give applications for C-regularized groups of operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let X be a complex topological vector space with dim(X) > 1 and B(X) the set of all continuous linearoperators on X. The concept of hypercyclicity for a subset of B(X) was introduced in [1]. In this work, we introducethe notion of hypercyclic criterion for a subset of B(X) . We extend some results known for a single operator andC0 -semigroup to a subset of B(X) and we give applications for C-regularized groups of operators.

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Cite This Article

BENCHIHEB, O., AMOUCH, M. (2022). On linear dynamics of sets of operators. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 402–411. https://ajindex.com/articles/607675

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