Martínez Ansemil, José María2023-06-202023-06-2019940213-8743https://hdl.handle.net/20.500.14352/58696Let E be a complex locally convex space, U a balanced open subset of E. The author continues the study of the quasinormability of the space Hb(U) of all holomorphic functions on U which are bounded on the U-bounded subsets of U. His main goal is to prove the following theorem: "For all Fréchet spaces E with the (BB)∞-property, Hb(U) is quasinormable for every balanced open subset U of E''; this includes all the known results about the quasinormability of Hb(U) in the Fréchet space settingengOn the quasinormability of Hb(U).journal articlehttp://www.eweb.unex.es/eweb/extracta/restricted access517.53Quasinormability(BB)-propertyFunciones (Matemáticas)1202 Análisis y Análisis Funcional