[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.13160/ricns.2017.10.2.115

𝓐-Frequent Hypercyclicity in an Algebra of Operators

Ahn, Ka Kyung (College of Humanities and General Education, Soekyeong University)

Publication Information

Journal of Integrative Natural Science / v.10, no.2, 2017 , pp. 115-118 More about this Journal

Abstract

We study a notion of $\mathcal{A}$ -frequent hypercyclicity of linear maps between the Banach algebras consisting of operators on a separable infinite dimensional Banach space. We prove a sufficient condition for a linear map to satisfy the $\mathcal{A}$ -frequent hypercyclicity in the strong operator topology.

Keywords

Operator Algebras; Strong Operator Topology; Frequently Hypercyclicity;

Citations & Related Records

Reference

1	M. Gupta and A. Mundayadan, "q-frequently hypercyclic operators", Banach Journal of Mathematical Analysis, Vol. 9, pp. 114-126, 2015.
2	F. Bayart and E. Matheron, "(Non-)weakly mixing operators and hypercyclicity sets", Annales de L'institut Fourier, Vol. 59, pp. 1-35, 2009. DOI
3	J. Bes, Q. Menet, A. Peris, and Y. Puig, "Recurrence properties of hypercyclic operators", Mathematische Annalen, Vol. 366, pp. 545-572, 2016. DOI
4	K. C. Chan and R. D. Taylor, "Hypercyclic subspaces of a banach space", Integral Equations and Operator Theory, Vol. 41, pp. 381-388, 2001. DOI
5	Q. Menet, "Existence and non-existence of frequently hypercyclic subspaces for weighted shifts", Proc. Am. Math. Soc., Vol. 143, pp. 2469-2477, 2015. DOI