Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598423 | Linear Algebra and its Applications | 2017 | 11 Pages |
Abstract
In this note, the linear structure of the family He(G)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)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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Luis Bernal-González, María del Carmen Calderón-Moreno, Juan Benigno Seoane-Sepúlveda,