2019-06-192019-06-192017-01-15Bernal 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, 149-159.0024-3795https://hdl.handle.net/11441/87516In 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Lineability, maximal spaceabilityMaximal algebrabilityNon-continuable holomorphic functionsDomain of existenceBalanced domaininfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.laa.2016.10.008