ON SOME PROPERTIES OF M-HYPERCYCLIC C\(_0\)-SEMIGROUP
Keywords:
hypercyclicity, M-hypercyclicity, C\(_0\)-semigroup, point spectrum, topologically transitive, diskcyclic operator, M-Diskcyclic operatorAbstract
In this article, we justify that every separable infinite dimensional complex Banach space admits an M-hypercyclic C0-semigroups. Also, we prove that if (Tt)t≥0 is an M-hypercyclic C0-semigroup of a generator A acting on such X then the point spectrum σp(T\(_i^{*}\)) may be empty or not. On other hand we introduce the concept of diskcyclic, M-diskcyclic and M-disk transitive C0-semigroup; we obtain some proprieties as well as an important characterization for these notions.
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Published
2015-12-31
How to Cite
Tajmouati, A., El Bakkali, A., & Toukmati, ahmed. (2015). ON SOME PROPERTIES OF M-HYPERCYCLIC C\(_0\)-SEMIGROUP. Italian Journal of Pure and Applied Mathematics, 35, 351–360. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6425
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Section
Articoli - Forum Editrice
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Copyright (c) 2015 Abdelaziz Tajmouati, Abdeslam El Bakkali, ahmed Toukmati
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
