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 $q$-frequent hypercyclicity in an algebra of operators Bull. Korean Math. Soc. 2017 Vol. 54, No. 2, 443-454 https://doi.org/10.4134/BKMS.b160011Published online March 31, 2017 Jaeseong Heo, Eunsang Kim, and Seong Wook Kim Hanyang University, Hanyang University, Hanyang University Abstract : We study a notion of $q$-frequent hypercyclicity of linear maps between the Banach algebras consisting of operators on a separable infinite dimensional Banach space. We derive a sufficient condition for a linear map to be $q$-frequently hypercyclic in the strong operator topology. Some properties are investigated regarding $q$-frequently hypercyclic subspaces as shown in \cite{BoGros2012}, \cite{Chan99} and \cite{CT2001}. Finally, we study $q$-frequent hypercyclicity of tensor products and direct sums of operators. Keywords : hypercyclic operator, $q$-frequently hypercyclic operator, $q$-frequently hypercyclic subspace, strong operator topology MSC numbers : 47A16 Downloads: Full-text PDF