Topological and algebraic genericity of divergence and universality

• Autorzy: Frédéric Bayart
• Języki publikacji: EN

Abstrakty

EN

We give general theorems which assert that divergence and universality of certain limiting processes are generic properties. We also define the notion of algebraic genericity, and prove that these properties are algebraically generic as well. We show that universality can occur with Dirichlet series. Finally, we give a criterion for the set of common hypercyclic vectors of a family of operators to be algebraically generic.

Kategorie tematyczne

• 47A16: Cyclic vectors, hypercyclic and chaotic operators
• 46B25: Classical Banach spaces in the general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 167
• Numer: 2
• Strony: 161-181

Daty

wydano

2005

Twórcy

autor

Frédéric Bayart

• Laboratoire Bordelais d'Analyse et de Géométrie, UMR 5467, Université Bordeaux 1, 351 Cours de la Libération, F-33405 Talence Cedex, France

Identyfikatory

DOI

10.4064/sm167-2-4