Bernal González, LuisCalderón Moreno, M. C.Seoane Sepúlveda, Juan Benigno2023-06-172023-06-1720170024-379510.1016/j.laa.2016.10.008https://hdl.handle.net/20.500.14352/17579In 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0024379516304815http://www.sciencedirect.com/restricted access517.98LineabilityMaximal spaceabilityMaximal algebrabilityNon-continuable holomorphic functionsDomain of existenceBalanced domainAnálisis funcional y teoría de operadores