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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.
Fernández, J., Hui, S., and Shapiro, Harold S.. "Funciones unimodulares y acotación uniforme.." Publicacions Matemàtiques 33.1 (1989): 139-146. <http://eudml.org/doc/41074>.
@article{Fernández1989, author = {Fernández, J., Hui, S., Shapiro, Harold S.}, journal = {Publicacions Matemàtiques}, keywords = {Espacios de funciones; Espacios LP; Acotación uniforme; Espacio dual; Subconjuntos; unimodular functions; Hardy space of bounded holomorphic functions in the unit disc; inner functions; Marshall's theorem; Blaschke products; uniform boundedness deciding set}, language = {eng}, number = {1}, pages = {139-146}, title = {Funciones unimodulares y acotación uniforme.}, url = {http://eudml.org/doc/41074}, volume = {33}, year = {1989}, }
TY - JOUR AU - Fernández, J. AU - Hui, S. AU - Shapiro, Harold S. TI - Funciones unimodulares y acotación uniforme. JO - Publicacions Matemàtiques PY - 1989 VL - 33 IS - 1 SP - 139 EP - 146 LA - eng KW - Espacios de funciones; Espacios LP; Acotación uniforme; Espacio dual; Subconjuntos; unimodular functions; Hardy space of bounded holomorphic functions in the unit disc; inner functions; Marshall's theorem; Blaschke products; uniform boundedness deciding set UR - http://eudml.org/doc/41074 ER -