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/