Operators with dense images everywhere
|Author||Bernal González, Luis
Calderón Moreno, María del Carmen
|Department||Universidad de Sevilla. Departamento de Análisis Matemático|
|Published in||Journal of Mathematical Analysis and Applications, 263 (1), 95-109.|
|Abstract||In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour ...
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour is studied, proving that the new concept generalizes the earlier of omnipresent, but there is no good relationship with the strongly omnipresent operators. We obtain, among other results, that the following kinds of operators are dense-image: onto linear operators; operators with local dense range satisfying soft conditions; Volterra complex integral operators plus infinite order differential operators, multiplication operators. In addition, holomorphic selfmappings and entire functions generating dense-image right or left composition operators are completely characterized.
Editor´s version: https://reader.elsevier.com/reader/sd/pii/S0022247X01976000?token=3BF50D1FBADA50F7091BBEE7DA8A1B6852DD67B08F46A40FDA2AEBCB6FA43C948F4D2F7E4F163775902F442434E47121