Artículo
Linear Kierst-Szpilrajn theorems
Autor/es | Bernal González, Luis
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Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2005 |
Fecha de depósito | 2019-06-19 |
Publicado en |
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Resumen | We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which
holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There ... We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There exist a dense linear manifold and a closed infinite-dimensional linear manifold of holomorphic functions in D whose domain of holomorphy is D except for the null function. The existence of a dense linear manifold of noncontinuable functions is also shown in any domain for its full space of holomorphic functions. |
Identificador del proyecto | FQM-127
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Cita | Bernal González, L. (2005). Linear Kierst-Szpilrajn theorems. Studia Mathematica, 166, 55-69. |
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