RT Journal Article
T1 Infinite dimensional holomorphic non-extendability and algebraic genericity
A1 Bernal González, Luis
A1 Calderón Moreno, M. C.
A1 Seoane Sepúlveda, Juan Benigno
AB 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.
PB Elsevier Science
SN 0024-3795
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17579
UL https://hdl.handle.net/20.500.14352/17579
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Junta de Andalucía
NO MEC
DS Docta Complutense
RD 20 abr 2025