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oai:docta.ucm.es:20.500.14352/175792025-04-08T14:38:44Zcom_20.500.14352_14col_20.500.14352_15

Infinite dimensional holomorphic non-extendability and algebraic genericity Bernal González, Luis Calderón Moreno, M. C. Seoane Sepúlveda, Juan Benigno 517.98 Lineability Maximal spaceability Maximal algebrability Non-continuable holomorphic functions Domain of existence Balanced domain Análisis funcional y teoría de operadores 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. Ministerio de Ciencia e Innovación (MICINN) Junta de Andalucía MEC Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-17T21:48:52Z 2023-06-17T21:48:52Z 2017 journal article https://hdl.handle.net/20.500.14352/17579 0024-3795 10.1016/j.laa.2016.10.008 eng MTM2015-65825-P. MTM2015-65242-C2-1-P FQM-127 Grant P08-FQM-03543 restricted access application/pdf Elsevier Science