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http://dx.doi.org/10.4134/BKMS.b160011

q-FREQUENT HYPERCYCLICITY IN AN ALGEBRA OF OPERATORS  

Heo, Jaeseong (Department of Mathematics Research Institute for Natural Sciences Hanyang University)
Kim, Eunsang (Department of Applied Mathematics College of Science and Technology Hanyang University)
Kim, Seong Wook (Department of Applied Mathematics College of Science and Technology Hanyang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 443-454 More about this Journal
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 [5], [6] and [7]. Finally, we study q-frequent hypercyclicity of tensor products and direct sums of operators.
Keywords
hypercyclic operator; q-frequently hypercyclic operator; qfrequently hypercyclic subspace; strong operator topology;
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