q-FREQUENT HYPERCYCLICITY IN AN ALGEBRA OF OPERATORS
- Title
- q-FREQUENT HYPERCYCLICITY IN AN ALGEBRA OF OPERATORS
- Author
- 허재성
- Keywords
- hypercyclic operator; q-frequently hypercyclic operator; q-frequently hypercyclic subspace; strong operator topology
- Issue Date
- 2017-03
- Publisher
- KOREAN MATHEMATICAL SOC
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v. 54, no. 2, page. 443-454
- 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.
- URI
- http://koreascience.or.kr/article/JAKO201713842134610.pagehttps://repository.hanyang.ac.kr/handle/20.500.11754/113068
- ISSN
- 1015-8634; 2234-3016
- DOI
- 10.4134/BKMS.b160011
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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