The present paper introduces a very simple, but very useful notion of the so called quasi-extension of l 1 -operators and proves that a large class of topological vector spaces admit continuous hypercyclic operators. In particular, it answers in the affirmative a question of S. Rolewicz, posed in 19
β¦ LIBER β¦
Hypercyclic operators on topological vector spaces
β Scribed by Shkarin, S.
- Book ID
- 118145013
- Publisher
- Oxford University Press
- Year
- 2012
- Tongue
- English
- Weight
- 284 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0024-6107
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Every infinite dimensional separable non-normable Fre chet space admits a continuous hypercyclic operator. A large class of separable countable inductive limits of Banach spaces with the same property is given, but an example of a separable complete inductive limit of Banach spaces which admits no h