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Bernal González, Luis and Calderón Moreno, M. C. and Seoane-Sepúlveda, Juan B.
(2017)
*Infinite dimensional holomorphic non-extendability and algebraic genericity.*
Linear Algebra and its Applications, 513
.
pp. 149-159.
ISSN 0024-3795

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Restringido a Repository staff only 358kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0024379516304815

## Abstract

In this note, the linear structure of the family H-e(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 H-e(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 author.

Item Type: | Article |
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Uncontrolled Keywords: | Lineability; Maximal spaceability; Maximal algebrability; Non-continuable holomorphic functions; Domain of existence; Balanced domain |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 40713 |

Deposited On: | 02 Feb 2017 10:03 |

Last Modified: | 02 Feb 2017 11:22 |

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