Akademska digitalna zbirka SLovenije - logo
E-viri
Recenzirano Odprti dostop
  • Infinite dimensional holomo...
    Bernal-González, Luis; del Carmen Calderón-Moreno, María; Seoane-Sepúlveda, Juan Benigno

    Linear algebra and its applications, 01/2017, Letnik: 513
    Journal Article

    In 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.