Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
An eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new sufficient conditions for a sequence of infinite order linear differential operators to be hypercyclic on the space of holomorphic functions on certain domains of $ℂ^N$ are shown. Moreover, several necessary conditions are furnished. The equicontinuity of a family of operators as above is also studied, and it is characterized if the domain is $ℂ^N$. The results obtained extend or improve earlier work of several authors.
Słowa kluczowe
Kategorie tematyczne
- 47B38: Operators on function spaces (general)
- 30E10: Approximation in the complex domain
- 47A16: Cyclic vectors, hypercyclic and chaotic operators
- 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)
- 47E05: Ordinary differential operators (should also be assigned at least one other classification number in section 47)
Czasopismo
Rocznik
Tom
Numer
Strony
169-187
Opis fizyczny
Daty
wydano
2001
Twórcy
autor
- Departamento de Análisis Matemático, Facultad de Matemáticas, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain
autor
- Departamento de Análisis Matemático, Facultad de Matemáticas, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-2-4