In this paper we study the role that unimodular functions play in deciding the uniform boundedness of sets of continuous linear functionals on various function spaces. For instance, inner functions are a UBD-set in H∞ with the weak-star topology.
@article{urn:eudml:doc:41074,
title = {Funciones unimodulares y acotaci\'on uniforme.},
journal = {Publicacions Matem\`atiques},
volume = {33},
year = {1989},
pages = {139-146},
mrnumber = {MR1004231},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41074}
}
Fernández, J.; Hui, S.; Shapiro, Harold S. Funciones unimodulares y acotación uniforme.. Publicacions Matemàtiques, Tome 33 (1989) pp. 139-146. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41074/