Artículo
Holomorphic operators generating dense images
Autor/es | Bernal González, Luis
Calderón Moreno, María del Carmen Prado Bassas, José Antonio |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2008-01 |
Fecha de depósito | 2016-09-27 |
Publicado en |
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Resumen | The existence of infinite dimensional closed linear spaces of holomorphic
functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ... The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed. Necessary and sufficient conditions for T to have the latter property are provided and applied to obtain a number of concrete examples: infinite order differential operators, composition operators and multiplication operators, among others.Key words and phrases: dense images, infinite dimensional closed linear spaces, non-relatively compact subsets, residual sets, differential operators, composition operators, multiplication operators. |
Agencias financiadoras | Junta de Andalucía Dirección General de Enseñanza Superior. España |
Identificador del proyecto | FQM-127
BFM2003-03893-C02-01 MTM2004- 21420-E |
Cita | Bernal González, L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2008). Holomorphic operators generating dense images. Integral Equations and Operator Theory, 60 (1), 1-11. |
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