Hypercyclic operators on countably dimensional spaces
β Scribed by Schenke, Andre; Shkarin, Stanislav
- Book ID
- 118735713
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 273 KB
- Volume
- 401
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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
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