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

On linear dynamics of sets of operators

Otmane BENCHIHEB
Mohamed AMOUCH
Sayfa
402–411
Yayın Tarihi
2022-11-04
DOI
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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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:The concept of hypercyclicity for a subset of B(X) was introduced in [1].
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (21)

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