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
โฆ LIBER โฆ
The continuity of increasing polynomial operators on ordered topological vector spaces
โ Scribed by Vincent J. Bruno
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 379 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0362-546X
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## Abstract Preordered topological spaces for which the order has a closed graph form a topological category. Within this category we identify the MacNeille completions (coinciding with the universal initial completions) of five monotopological subcategories, namely those of the __T__~0~(__T__~1~,