Artículo
Sequences of differential operators: exponentials, hypercyclicity and equicontinuity
Autor/es | Bernal González, Luis
Prado Tendero, José Antonio |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2001 |
Fecha de depósito | 2019-06-19 |
Publicado en |
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Resumen | In this paper, 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 ... In this paper, 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 before is also studied, and it is even characterized if the domain is C N. The results obtained extend or improve earlier work of several authors. |
Identificador del proyecto | PB96-1348 |
Cita | Bernal González, L. y Prado Tendero, J.A. (2001). Sequences of differential operators: exponentials, hypercyclicity and equicontinuity. Annales Polonici Mathematici, 77, 169-187. |
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