Artículo
Infinite dimensional holomorphic non-extendability and algebraic genericity
Autor/es | Bernal González, Luis
Calderón Moreno, María del Carmen Seoane Sepúlveda, Juan Benigno |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2017-01-15 |
Fecha de depósito | 2019-06-19 |
Publicado en |
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Resumen | In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not
holomorphically continuable beyond the boundary of G is analyzed. More particularly, we ... In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we prove that He(G) contains, except for zero, a closed (and a dense) vector space having maximal dimension, as well as a maximally generated free algebra. The results obtained complete a number of previous ones by several authors. |
Identificador del proyecto | FQM-127
P08-FQM-03543 MTM2015-65242-C2-1-P MTM2015-65825-P |
Cita | Bernal González, L., Calderón Moreno, M.d.C. y Seoane Sepúlveda, J.B. (2017). Infinite dimensional holomorphic non-extendability and algebraic genericity. Linear Algebra and its Applications, 513, 149-159. |
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