• Title, Summary, Keyword: qfrequently hypercyclic subspace

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q-FREQUENT HYPERCYCLICITY IN AN ALGEBRA OF OPERATORS

  • Heo, Jaeseong;Kim, Eunsang;Kim, Seong Wook
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.443-454
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    • 2017
  • 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.