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q-FREQUENT HYPERCYCLICITY IN AN ALGEBRA OF OPERATORS
q-FREQUENT HYPERCYCLICITY IN AN ALGEBRA OF OPERATORS
- 대한수학회
- Bulletin of the Korean Mathematical Society
- Vol.54 No.2
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2017.01443 - 454 (12 pages)
- 0
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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.
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