Hypercyclic and chaotic weighted shifts

• Autorzy: K-G. Grosse-Erdmann
• Języki publikacji: EN

Abstrakty

EN

Extending previous results of H. Salas we obtain a characterisation of hypercyclic weighted shifts on an arbitrary F-sequence space in which the canonical unit vectors $(e_n)$ form a Schauder basis. If the basis is unconditional we give a characterisation of those hypercyclic weighted shifts that are even chaotic.

Słowa kluczowe

EN

F-spaces; topological sequence spaces; weighted shift operators; weighted pseudo-shifts; hypercyclic operators; chaotic operators

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 30E10: Approximation in the complex domain
• 47A16: Cyclic vectors, hypercyclic and chaotic operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 139
• Numer: 1
• Strony: 47-68

Daty

wydano

2000

otrzymano

1999-09-09

poprawiono

2000-01-07

Twórcy

autor

K-G. Grosse-Erdmann

• Fachbereich Mathematik, Fernuniversität Hagen, 58084 Hagen, Germany.

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