- Tytuł:
- Universal images of universal elements
- Autorzy:
- Bernal-González, Luis
- Powiązania:
- https://bibliotekanauki.pl/articles/1206133.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
universal element
almost commutativity
universal image
dense range
dense hypercyclic manifold
point spectrum of the adjoint
analytic function of an operator
real entire function
maximal dimension - Opis:
- We furnish several necessary and sufficient conditions for the following property: For a topological space X, a continuous selfmapping S of X and a family τ of continuous selfmappings of X, the image under S of every τ-universal element is also τ-universal. An application in operator theory, where we extend results of Bourdon, Herrero, Bes, Herzog and Lemmert, is given. In particular, it is proved that every hypercyclic operator on a real or complex Banach space has a dense invariant linear manifold with maximal algebraic dimension consisting, apart from zero, of vectors which are hypercyclic.
- Źródło:
-
Studia Mathematica; 2000, 138, 3; 241-250
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł