Holomorphically ultrabornological spaces and holomorphic inductive limits
The holomorphically ultrabornological spaces are introduced. Their relation with other holomorphically significant classes of locally convex spaces is established and separating examples are given, including the existence in any infinite dimensional Banach space of non ultrabornological Baire hyperplanes. Some apparently new properties of holomorphically ultrabornological spaces are included and holomorphically ultrabornological spaces are utilized in a problem posed by Nachbin.
holomorphically ultrabornological spaces
holomorphically significant classes of locally convex spaces
scientific article; zbMATH DE number 4017640
scientific article