Sequences of differential operators: exponentials, hypercyclicity and equicontinuity

• Autorzy: L. Bernal-González , J. A. Prado-Tendero
• Języki publikacji: EN

Abstrakty

EN

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.

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)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 2
• Strony: 169-187

Daty

wydano

2001

Twórcy

autor

L. Bernal-González

• Departamento de Análisis Matemático, Facultad de Matemáticas, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain

autor

J. A. Prado-Tendero

• Departamento de Análisis Matemático, Facultad de Matemáticas, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain

Identyfikatory

DOI

10.4064/ap77-2-4