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Multiples of Hypercyclic Operators
- 1.0323389 - MÚ 2009 RIV US eng J - Journal Article
Badea, C. - Grivaux, S. - Müller, Vladimír
Multiples of Hypercyclic Operators.
[Násobky hypercyklických operátorů.]
Proceedings of the American Mathematical Society. Roč. 137, č. 4 (2009), s. 1397-1403. ISSN 0002-9939. E-ISSN 1088-6826
R&D Projects: GA ČR(CZ) GA201/06/0128
Institutional research plan: CEZ:AV0Z10190503
Keywords : hypercyclic operators * bilateral weighted shifts
Subject RIV: BA - General Mathematics
Impact factor: 0.640, year: 2009
We give a negative answer to a question of Prajitura by showing that there exists an invertible bilateral weighted shift T such that T and 3T are hypercyclic but 2T is not.
Je podána negativní odpověď na otázku Prajitury a sestrojen příklad operátoru T takový, že T a 3T je hypercyklický a 2T nikoliv.
Permanent Link: http://hdl.handle.net/11104/0171365
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